Question

Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36 km/h and 48 km/h respectively.

i) How long will it take train B to catch up with train A?
ii) How far from the start were the two trains when they met?

Answer 1

Train B will catch up with Train A in a certain amount of time and they will be 27 km away from the start when they meet.

Step-by-step explanation:

In order to find out how long it will take for train B to catch up with train A, we can use the formula:

time = distance / relative speed

The relative speed of train B with respect to train A is 48 km/h - 36 km/h = 12 km/h. The distance between the two trains is the same since they are traveling in the same direction. We can substitute these values into the formula:

time = distance / relative speed = distance / 12 km/h

ii) To find out how far from the start the two trains were when they met, we can use the formula:

distance = speed x time

Since train A left 45 minutes before train B, the time it takes for train B to catch up with train A is also 45 minutes. We can substitute the values into the formula:

distance = 36 km/h x (45 min / 60 min) = 27 km