Question

A train leaves station A towards station B at the speed of 50 km/hr. After half an hour, another train leaves station B towards station A at 150 km/hr. The distance between the stations is 725 km. The distance of the point from station A where the two trains are to meet is:

Options

• 250 km

• 150 km

• 168 km

• 200 km

Answer 1

200 km

Explanation:

Train 'x' covered distance in half an hour = `50 xx 1/2` = 25 km

Sum of speed of train x and train y = 50 + 150 = 200 kmph

Remaining distance to travel = 725 – 25 = 700 km

Now, Meeting point of trains = `"Distance"/"Speed" = 700/200 = 7/2` hours

Distance travel by train 'x' = `50 xx 7/2` = 175 km

∴ Total distance of the point from station ' A ' = 25 + 175 = 200 km