Two trains can run at a speed of 54 km/hr and 36 km/hr on a parallel tracks. When they are running in opposite directions, they pass each other in 10 s. When they move in the same direction, a person sitting in the faster train crosses the other train in 30 s. Find the length of the trains ( faster and slower respectively)

Foundation

Mathematics Foundation

9th basic statistics

Ratio Proportion

Time Speed Distance

Question

Two trains can run at a speed of 54 km/hr and 36 km/hr on a parallel tracks. When they are running in opposite directions, they pass each other in 10 s. When they move in the same direction, a person sitting in the faster train crosses the other train in 30 s. Find the length of the trains ( faster and slower respectively)

150 m each

100 m and 150 m

150 m and 100 m

100 m each

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The two trains moving towards each other travel a distance of = $(\frac{54 + 36}{3600}) \times 1000 \times 10$ = 250m

a + b = 250 m

Length of the slower train = $(\frac{54 - 36}{60 \times 60}) \times 1000 \times 30$ = 150m

Length of faster train = 250 – 150 = 100 m.