Time & Distance Quiz for IBPS

1. If speed of 3 1/3 m/s is converted to km/h, then it would be
1) 8 km/h  2) 9 km/h  3) 10 km/h  4) 12 km/h  5) None of these
Solution: (4).
Since 1 m/s = 18/5 km/h
Therefore 3 1/3 m/s = 10/3 m/s = 10/3 x 18/5 km/h
= 12 km/h

2. Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2:7. Find
the ratio of time taken by A and B to reach from X to Y.
1) 2:5    2) 3:5  3) 3:8  4) 7:2  5) None of these
Solution: (4).
We know that speed is inversely proportional to time .
Given that,
( Speed of A ) : (Speed of B) = 2: 7
Therefore ( Time taken by A ) : ( Time taken by B)
= ½ : 1/7 = 7:2

3.  A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the
policeman, chases him . The thief and the policeman run at the rate of 10 km/h and 11 km/h ,
respectively. The distance between them after 6 min will be
1) 100 m 2) 180 m 3) 150 m 4) 125 m 5) None of these
Solution: (1).
Relative speed of policeman with respect to thief = ( 11 -10 ) = 1 km/h
Now, relative distance covered by policeman in 6 min
= Speed x Time = 1 x 6/60
= 1/10 km = 100m
= The distance between the policeman and thief after 6 min = ( 200 – 100) = 100m

4.  John started from A to B and Vinod from B to A . If the distance between A and B is 125 km and
they meet at 75 km from A, what is the ratio of John’s speed to that of Vinod’s speed?
1) 2:3    2) 3:2  3) 4:3  4) 5:4  5) None of these
Solution: (2).
John’s speed : Vinod’s speed
= 75 : ( 125 – 75 )
= 75 : 50 = 3 : 2

5.  A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be
covered by A in
1) 5 1/3 min  2) 2 1/3 min  3) 7 1/3 min  4) 9 1/3 min  5) None of these
Solution: ( 4).
Let time taken by A = y
Let speed of C = x
Then, speed of B = 3x
Therefore speed of A = 6x
Now, ratio of speeds of A and C
= Ratio of time taken by C and A
6x : x = 56 :y
= 6x /x
= 56/y
Therefore y = 56/6 = 9 2/6
9 1/3 min
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