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

Question : 1

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 : 2

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 : 3

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 : 4

In covering a certain distance, the speed of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is :

a) 1$1/2$ hours

b) 2 hours

c) 2$1/2$ hours

d) 1 hour

Question : 5

Three cars travelled distance in the ratio 1 : 2 : 3. If the ratio of the time of travel is 3 : 2 : 1, then the ratio of their speed is

a) 1 : 3 : 9

b) 1 : 2 : 4

c) 4 : 3 : 2

d) 3 : 9 : 1