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

Question : 1

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 : 2

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 : 3

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is :

a) 3 : 4

b) 4 : 3

c) 4 : 5

d) 3 : 5

Question : 4

A cyclist, after cycling a distance of 70 km on the second day, finds that the ratio of distance covered by him on the first two days is 4 : 5. If he travels a distance of 42 km. on the third day, then the ratio of distance travelled on the third day and the first day is :

a) 3 : 2

b) 3 : 4

c) 2 : 3

d) 4 : 3

Question : 5

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 : 6

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