Model 4 Time & Distance with Ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

A and B run a 5 km race on a round course of 400 m. If their speed are in the ratio 5 : 4, the number of times, the winner passes the other, is

a) 2

b) 3

c) 5

d) 1

Question : 2

The speed of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination ?

a) 2 hours

b) 2$2/3$ hours

c) 1$2/3$ hours

d) 1$1/3$ hours

Question : 3

The ratio of length of two trains is 5 : 3 and the ratio of their speed is 6 : 5. The ratio of time taken by them to cross a pole is

a) 11 : 8

b) 25 : 18

c) 27 : 16

d) 5 : 6

Question : 4

A truck covers a distance of 550 metre in one minute where as a bus covers a distance of 33 km in $3/4$ hour. Then the ratio of their speeds is :

a) 2 : 3

b) 3 : 4

c) 1 : 4

d) 1 : 3

Question : 5

A train starts from A at 7 a.m. towards B with speed 50 km/h. Another train starts from B at 8 a.m. with speed 60 km/h towards A. Both of them meet at 10 a.m. at C. The ratio of the distance AC to BC is

a) 5 : 4

b) 6 : 5

c) 4 : 5

d) 5 : 6

Question : 6

A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is

a) 4 : 1

b) 1 : 2

c) 2 : 1

d) 1 : 4