Mathematical Ability Test
[Topic: Time & Distance] – MAA4
Test
MATHEMATICS
Test Code
MAA4
Topic
TIME & DISTANCE
No. of Questions
20
Maximum Marks
20
Competitive score
16
Time allowed
18 minutes
Answers with explanations have been provided for self-evaluation.
Do send us your score after complet ing the test.
1. Mahaboob covers the distance from A to B at the speed of 6 km per hour and it
takes him 12 kms to cover the same in the return direction. What is the average
speed per hour?
a. 4 km/hr
b. 6 km/hr
c. 8 km/hr
d. 8.5 km/hr
2. The distance between two cities Chennai and Trichy is 390 kms. Two race bikes
Yamaha and Honda simultaneously start from both places and travel towards each
other. The ratio of their speed is 5:8 and the speed of Honda is 80 km/hr. At what
time will the bikes meet each other?
a. 4 hrs
b. 3 hrs
c. 5 hrs
d. 3.5 hrs
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Page | 1
Mathematical Ability Test
[Topic: Time & Distance] – MAA4
3. Electric posts are placed 40 metres apart along side a track. A biker, starting from
The Essay on Objects Speed Velocity Time Distance
Time (s) Distance (m) Displacement (m) Velocity (m / s ) 0. 5 0. 06 0. 02 0. 1 1 0. 115 0. 012 0. 06 1. 5 0. 176 0. 021 0. 105 2 0. 232 0. 018 0. 09 2. 5 0. 289 0. 026 0. 13 3 0. 355 0. 034 0. 17 3. 5 0. 405 0. 032 0. 16 4 0. 47 0. 025 0. 125 4. 5 0. 55 0. 3 1. 5 1. Initial velocity is the speed and direction in which the object is moving at the beginning of a time interval and final velocity is ...
the first pole, reaches the 8th pole with the speed of 56kms per hour. Find out the
time taken to cover the distance.
a. 12 sec
Page | 2
b. 16 sec
c. 14 sec
d. 18 sec
4. A jet aircraft takes 4 hours to travel to a destination, which is 4800 kms away. The
return flight takes 6 hours to reach the origin. Calculate the speed of the aircraft
with the assumption that wind speed and direction remain the same.
a. 800 km/hr
b. 900 km/hr
c. 1000 km/hr
d. 750 km/hr
5. A destination is 200 kms away. A biker after covering half the distance develops
engine snag and manages to travel at half his original speed, which results in his
reaching the destination 4 hours late. Find the original speed of the biker.
a. 30 km/hr
b. 33 km/hr
c. 28 km/hr
d. 25km/hr
6. Anuja cycles to a bus stop at 3 km/hour but misses the bus by 6 minutes. The next
time, she increases her speed by 1 km/hr, yet misses the bus by 3 minutes. What is
the distance to the bus stand?
a. 0.5 km
b. 0.7 km
c. 0.6 km
d. 0.55 km
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
7. The speed of a car and a van are in the ratio 3:4. The car takes 40 minutes more
than the van to reach a spot. Find out in what time that the car reaches the spot.
a. 1 1/3 hrs
b. 2 1/3 hrs
Page | 3
c. 2 2/3 hrs
d. 1 ¾ hrs
8. Ram and Shyam start walking simultaneously from x to y, the distance between
the two being 42 kms. Ram’s speed is 3k m/hr and that of Shyam is 4km/hr.
Shyam reaches y and returns immediately to meet Ram at a place z. Find the
distance between x and z.
a. 28 kms
b. 30 kms
c. 36 kms
d. 38kms
9. Supriya covers a distance of 24 kms to school by walking half way and running
the remaining distance in order to reach on time. Her walking speed is 4km/hr and
the speed doubles when she runs. How much time will it take Supriya to reach the
The Essay on Calculating Speed Section Acceleration Time Velocity
Exploring Motion and Forces Calculating Speed: Section 1 q The SI unit for distance is meters. q The SI unit for speed is meters per second. q What is the SI unit for time is seconds. Calculating Speed: Section 2 q When solving for speed, you are looking for meters per second (velocity). q Your speed is 5 meters per second. 100/20 = 5 q You skate faster. Calculating Speed: Section 3 q When solving ...
school?
a. 4 hours
b. 4.5 hours
c. 5 hours
d. 5.5 hours
10. To cross a poll, a passenger train of 140 metre long, takes 20 seconds. What is the
speed of the train?
a. 7 metres/sec
b. 10 metres/sec
c. 9 metres/sec
d. none of the above
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
11. A taxi driver covers a distance of 100 kms from A to B at a speed of 20 km/hr and
in the return direction by the same route, at a speed of 30 kms/hr. What is the
average speed for the entire journey?
a. 26 kms/hr
b. 28 kms/hr
Page | 4
c. 24 kms/hr
d. 22 kms/hr
12. Nisha walks at a uniform speed of 5km/hour and 4 hours a fter her start, Usha
bicycles after her at a uniform speed of 10km/hr. How far from the starting point
will Usha catch up with Nisha?
a. 30 kms
b. 25 kms
c. 40 kms
d. none of the above
13. Sethu can run 40 kms in 5 hours. If he doubles up his speed, find out the time
taken to reach a destination 80 kms away from his residence.
a. 4 kms
b. 5 kms
c. 6 kms
d. 5.5 kms
14. Raja undertakes a journey of 100 kms. The first 40 kms is covered at the speed of
8 km/hr, then he increases his speed and covers the rest of the distance at 10
km/hr. Find the average speed of Raja for the entire journey.
a. 9 1/11 km/hr
b. 9 3/11 km/hr
c. 8 7/8 km/hr
d. none of the above
15. If a train whose length is 300 metres passes a standing man in 12 seconds, in what
time will it pass a bridge of 500 metres length?
a. 29 sec
b. 31 sec
c. 28 sec
d. 32 sec
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
The Term Paper on Speed Of Light Time Miles Earth
Light travels at about 186, 000 miles per second. Now, by looking at this number you may conclude that light travels really fast. Sure it does compared to the fastest that we can go or anything that we have ever made can go. But if you look at how long it takes light to travel distances you probably won't think it's so fast anymore. The distance from Earth to the Moon is about 239, 000 miles. That ...
16. An express train travels a distance of 200 kms with an average speed of 100
km/hr without stopping at intermittent stations. But as an ordinary train with
stoppages, it covers the same distance with an average speed of 80km/hr. If so,
Page | 5
how many minutes does the train stop per hour?
a. 15 min
b. 14 min
c. 12 min
d. 11 min
17. Charminar express with a length of 180 metres and Hyderabad express whose
length is 120 metres run in opposite directions at the speed of 60km/hr and
48km/hr respectively. In what time will they cross each other fully?
a. 10 sec
b. 12 sec
c. 14 sec
d. 16 sec
18. A 280 metres long passenger train with a speed of 130km/hr crosses a goods train
of length 220 metres coming from opposite direction in 10 seconds. Find the
speed of the goods train.
a. 50 km/hr
b. 60 km/hr
c. 65km/hr
d. none of the above
19. A train with a speed of 40km/hr passes a cyclist coming in the opposite direction
in 3 seconds. If the cyclist were to go in the same direction, the train would have
taken 2 seconds more to pass him. What is the speed of the cyclist?
a. 10 km/hr
b. 12 km/hr
c. 8 km/hr
d. 7 km/hr
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
20. Stations Chennai and Tirunelveli are 1000 kms apart from each other. Train A
leaves Chennai at an average speed of 200kms/hr. After half an hour, train B
leaves Tirunelveli towards Chennai at an average speed of 100kms/hr. The Page | 6
distance from Chennai, when the two trains will meet is:
a. 700 kms
b. 800 kms
c. 850 kms
d. none of the above
ANSWERS ON NEXT PAGE
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
S.No
The Essay on A Favorite Place I Like To Spend Time
A Favorite Place I Like to Spend Time Sometimes, when I feel tired and exhausted, I need a place for relaxation. Although there are many places, where one can feel relaxed, such as reading in a library with a cup of coffee, or sitting in a comfortable chair, covered with a cozy warm rug, holding a cup of fresh hot tea with scents of flowers, herbs, and jasmine and looking through the window, where ...
Answer
1
c
Explanation/Hints
Average speed = 2xy
where x and y are 2 speeds.
x+y
Difficulty
level
MODERATE
Page | 7
= (2 X 6 X 12)/18 = 8 km/hr, option ‘c’
2
b
Let the speed of Yamaha and Honda be 5x,8x respectively.
Hence speed of Yamaha = 5x =50. So relative speed of 2
bikes = 80+50 = 130. Meeting time = Total
distance/Relative speed = 390/130 = 3 hrs option ‘b’
SIMPLE
3
d
Distance to be covered = 7 X 40 = 40 = 280 metres. Time
taken = 280
MODERATE
56 X 5/18
= 18 sec, option ‘d’
4
c
Let x km be the speed of the aircraft and y km be the speed
of the wind. Hence, speed of onward flight = x + y and that
of return = x –y. We get 4800/(x+y) = 4 and 4800/(x-y) =6
DIFFICULT
Solving x = 1000 km/hr, option ‘c’
5
d
Let the original speed be x km/hr, normal time taken would
be = 200/x hrs. Now the biker travels 100 kms at x km/hr
and remaining 100 kms at x/2 kms/hr. Given:
DIFFICULT
100/x + 100/(x/2) = 200/x + 4 => x = 25 km/hr option ‘d’
6
c
Let the distance to bus stand be x kms. Given : x/3 – 6/60
= x/4 – 3/60. Solving, x = .6 km, option ‘c’
MODERATE
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
7
8
c
c
Ratio of speed = 3:4, hence ratio of time = 4:3. Let the time
taken by car and van be 4x and 3x respectively. Given: 4x –
3x = x= 40/60 hrs = 2/3 hrs => the car takes 2/3 X 4 = 8/3
hours = 2 2/3 hours, option ‘c’
MODERATE
Page | 8
x——————–z——————y
Distance between y to z = (Distance x to y) X
speeds)
(difference between
(sum of speeds)
= 42 x 1/7 = 6kms.
DIFFICULT
Hence distance between x to z = 42 – 6 = 36 kms option ‘c’
The Essay on Time Out Of Joint
Time Out of Joint is probably not one of Dick's most well known books. It is, however, the book I chose this time. Why? Because "he thinks he's the centre of the universe" on the back cover sounded interesting. It felt like a very fresh idea to me, something I haven't encountered before in literature, or anywhere else for that matter. People often do think of where they live as the centre of the ...
9
b
Required time = Time taken for walking + Time taken for
running = 12/4 + 12/8 = 4.5 hrs, option ‘b’
SIMPLE
10
a
Speed of the train = distance/time = 140/20 = 7 met/sec,
option ‘a’
SIMPLE
11
c
Distance covered is same both ways.
MODERATE
Hence average speed = 2xy/(x+y) = (2 X 20 X 30) / 50 = 24
km/hr option ‘c’
12
c
Distance covered by Nisha in 4 hours = 5 X 4 = 20 kms.
Relative speed of Usha with respect to Nisha = 10 – 5 =
5km/hr. Hence, time taken by Usha to catch up = 20/5 = 4
hours , hence distance covered in 4 hours by Usha = 4 X
10kms = 40 kms, option ‘c’
MODERATE
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
13
b
Sethu covers 40 kms in 5 hrs=> speed = 8 km/hr
SIMPLE
Revised speed = 8 X 2 = 16 kms/hr
To cover 80 kms, it would take 5 hours, option ‘b’
Page | 9
14
a
Time taken to cover 40 km @ 8 km/hr = 5 hrs. To cover the
rest of 60 kms at a speed of 10km/hr, it will take 6 hrs.
Hence, average speed = Total distance/total time = 100/11
= 9 1/11 km/hr, option ‘a’
MODERATE
15
d
Speed of train = 300/12 = 25 min/sec
MODERATE
Time taken by the train to pass the bridge of 500 met length
=(500 + 300)/25 = 32 seconds, option ‘d’
16
c
The distance covered is the SAME
DIFFICULT
Hence stoppage time/hour = Difference in speed/faster
speed
per hour
= 100 – 80 = 20
100
100 which is 1/5
hr = 12 min/hr, option ‘c’
17
a
Relative speed of two trains = 108 km/hr = 108 X 5/18 =
30met/sec.
MODERATE
Distance to be covered = 180 + 120 = 300 metres, hence
time taken = 300/30 = 10 seconds, option ‘a’
18
a
Distance covered = 280 + 220 = 500 metres. Relative speed
of 2 trains = 500/10 = 50 metres/sec = 50 X 18/5 = 180
The Essay on Distance Time Space
Peter was never a smart boy. At 12 he was still struggling with the basics of arithmetic and trying to understand the differences between a verb and a noun. The boys at Scot lee High called him slow mo. Life couldnt be crueler and ironic because his last name, Sparks, was the cause for many unkind jokes. Once in the fifth grade his Math teacher said, For someone called Sparks, you are not very ...
km/hr. Therefore, speed of goods train = 180 – 130 = 50
km/hr, option ‘a’
MODERATE
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Mathematical Ability Test
[Topic: Time & Distance] – MAA4
19
20
a
a
Let the speed of the cyclist be x km/hr. Relat ive speed
when traveling in opposite direction = 40 + x and when
traveling in same direction = 40 – x. Ratio of time taken =
3 : 5. Hence we have the following: 3(40 + x) = 5(40 –
x) => x = 10km/hr, option ‘a’
DIFFICULT
Distance covered by train A in half an hour = 100 kms.
MODERATE
Page | 10
Remaining distance = 900 kms.
Ratio of speed = 200 : 100 = 2:1
Train A will cover 2/3 X 900 = 600 kms and Train B will
cover 300 kms. Total distance covered by train A = 600 +
100 = 700 kms, option ‘a’
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