Question

Train levels a station and travels north at 60km/hr. Two hours later, a second train leaves on a parallel track and travels north at 100km/hr. How far from the station will they meet

Answer 1

Answer: they would be 300 miles from the station.

Explanation:

At the point where both trains meet, they would have covered the same distance.

Let t represent the time spent by the first train in covering this distance.

Distance = speed × time

The first train leaves the station and travels north at 60km/hr.

Distance covered by the first train is

60 × t = 60t

Two hours later, a second train leaves on a parallel track and travels north at 100km/hr. Time spent by the second train in covering this distance is (t - 2) hours

Distance covered by the second train is

100(t - 2) = 100t - 200

Since both trains covered the same distance, then

100t - 200 = 60t

100t - 60t = 200

40t = 200

t = 200/40

t = 5 hours

The distance that they would be from the station is

60 × 5 = 300 miles