Time & Distance Test

Result

Time & Distance Test - 1

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Weekly Quiz Competition

Question 1
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The speed of a 100 m long running train A is 40 % more than the speed of another 180 m long train B running in the opposite directions. To find out the speed of train B, which of the information given in statements P and Q is/are sufficient?

P: The two trains cross each other in 6 seconds
Q: The difference between the speeds of the two trains was 26 kmph.

A
Only P is sufficient

B
Only Q is sufficient

C
Both P and Q are needed

D
Both P & Q are not sufficient

E
None of these

Solution
Question 2
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Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

A
9 am

B
10 am

C
11 am

D
10:30 am

E
None of these

Solution

Suppose they meet in x hours after 7 a.m.
Distance covered by A in x hours = 20 x km
Distance covered by B in (x-1) hours
= 25 (x - 1) km
∵ 20 x + 25 (x-1) = 110
45 x = 135
x = 3
So, they meet at 10 a.m.

Quicker Maths (Direct Formula)

They will meet at
Question 3
1 / -0.25

The length of the train that takes 8 seconds to pass a pole when it runs at a speed of 36 km/hr is:

A
70 m

B
80 m

C
85 m

D
90 m

E
None of these

Solution

36 km/hr = 36 × 5/18 = 10 m/s
Distance covered by train in 8 seconds
= length of train
= 8 × 10 = 80 m
Question 4
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A train running at certain speed crosses a stationary engine in 20 seconds. To find out the speed of the train, which of the following information is necessary :

A
Only the length of the train

B
Only the length of the engine

C
Either the length of the train or the length of the engine

D
Both the length of the train and the length of the engine

E
None of these

Solution

Since the sum of the lengths of the train and the engine is needed, both the lengths must be known.
Question 5
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How long will a train 60 m long travelling at 40 km/hr take to pass through a station whose platform is 90 m long?

A
12.5 seconds

B
13.5 seconds

C
14.5 seconds

D
15.5 seconds

E
None of these

Solution

Speed = 40 km/hr = 40 × 5/18 m/s
Question 6
1 / -0.25

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is :

A
72 m

B
54 m

C
45 m

D
50 m

E
None of these

Solution
Question 7
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Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a milestone. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

A
20 sec

B
15 sec

C
12 sec

D
10 sec

E
None of these

Solution

Speed of first train = 120/10 = 12m/s

Speed of second train = 120/15 = 8 m/s

Their relative speed = 12 + 8 = 20 m/s

= 12 sec
Question 8
1 / -0.25

A train is running at the rate of 40 kmph. A man is also going in the same direction parallel to the train at the speed of 25 kmph. If the train crosses the man in 48 seconds, the length of the train is :

A
100 m

B
200 m

C
300 m

D
400 m

E
None of these

Solution

Lenght of train = Relative speed * time

= 200 m
Question 9
1 / -0.25

A train 700 m long is running at 72 kmph. If it crosses a tunnel in 1 minute, the length of the tunnel is :

A
700 m

B
600 m

C
550 m

D
500 m

E
None of these

Solution

Let length of the tunnel be x m;

speed = (72*5/18) m/sec = 20 m/sec

Time = 60 sec