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  • CDS Exam ELEMENTARY MATHEMATICS Study Material

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Time And Speed
A train 150 m long passes a pole in 10 s . It will pass a standing train which is 220 m long in ?

a) 23s
b) 28s
c) 24.6 s
d) 26s



Answer
Solution
Correct Answer Is : 24.6 s
Solution Is : Speed of train = Length of train/Time taken to cross the tree = 150 / 10 = 15 m/s Time to cross the train = (Length of moving train + length of standing train) / Speed of moving train = 220 + 150 / 15 = 370 /15 = 24.6 s =
A bus can complete a journey in 10h , if it travels at 50 km/h . At what speed (km/h) the bus must travel in order to complete the journey in 8 h ?

a) 60
b) 62.5
c) 70
d) 80



Answer
Solution
Correct Answer Is : 62.5
Solution Is : Speed of bus = 50 km/h Time taken = 10 h Distance covered = speed x Time taken = 50 x 10 = 500 km now speed of bus to cover same distance in 8 h Speed of bus = Distance travelled / Timetaken = 500 / 8 = 62.5 km/h
A train running at 36 km/h crosses a pole in 25 s . Length of the train is

a) 250 m
b) 300 m
c) 225 m
d) 275 m



Answer
Solution
Correct Answer Is : 250 m
Solution Is : Speed of train in m/s = 36 x 5/18 = 10 m/s
Time taken to cross the pole = 25 s
Now, length of train = Speed of train x
time taken to cross pole = 10 x 25 = 250 m
A train 150 m long passes a tree in 12 s . It will pass a tunnel of 250 m long in

a) 20s
b) 25s
c) 32s
d) 26s



Answer
Solution
Correct Answer Is : 32s
Solution Is : Speed of train = Length of train/Time
taken to cross the tree = 120 / 12 = 12.5 m/s
Time to cross a tunnel = (Length of tunnel + length of train) / Speed of train
= 250 + 150 / 12.5 = 32 s
A bus can complete a journey in 6h , if it travels at 60 km/h . At what speed (km/h) the bus must travel in order to complete the journey in 9 h ?

a) 60
b) 40
c) 30
d) 35



Answer
Solution
Correct Answer Is : 40
Solution Is :
Speed of bus = 60 km/h
Time taken = 6 h
Distance covered = speed x Time taken
= 60 x 6 = 360 km
now speed of bus to cover same distance in 9 h
Speed of bus = Distance travelled / Timetaken
= 360 / 9 = 40 km/h
The speed of a bus is 72km/h. the distance covered by the bus in 5s is

a) 50m
b) 74.5m
c) 100m
d) 60m



Answer
Solution
Correct Answer Is : 100m
Solution Is : Speed of bus in m/s = 72 x 5/18 = 20 m/s
Distance travelled in 5 s = 20 x 5 ( speed x time ) = 100 m
Two men start together to walk a certain distance, one at 4km/h and another at 3km/h. The former arrives half an hour before the latter. find the distance.

a) 6km
b) 9km
c) 8km
d) 7km



Answer
Solution
Correct Answer Is : 6km
Solution Is : Let distance be x km
By given condition ,
x/3 - x/4 = 1/2
4x-3x / 12 = 1/2
x = 12 / 2
x = 6 km

Thespeed of a train going from Nagpur to Allahabad is 100 km/h. While its speed is 150 km/h, when coming back from Allahabad to Nagpur. Then, the average speed during the whole journey is

a) 135 km/h
b) 120 km/h
c) 125 km/h
d) 140 Km/h



Answer
Solution
Correct Answer Is : 120 km/h
Solution Is :
A car covers a certain distance going at a speed of 60 km/h and returns to the starting point at a speed of 40 km/h. The average speed for the whole journey is

a) 48 km/h
b) 50 km/h
c) 45 km/h
d) 40 km/h



Answer
Solution
Correct Answer Is : 48 km/h
Solution Is :
A train is moving at a speed of 80 km/ h and covers a certain distance in 4-5 h. the speed of the train to cover the same distance in 4 h is

a) 70km/h
b) 85km/h
c) 90 km/h
d) 100 km/h



Answer
Solution
Correct Answer Is : 90 km/h
Solution Is : Distance covered by the train in 4.5 hr
=80*45 km=360 km
Now ,to cover this distance is 4 h,the speed of the train
= 360/4 =90 km/h
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