A train travelling at a uniform speed, clears a platform 240 meters long in 10 seconds and passes a telegraph post in 6 seconds . Find the length of t - Quantitative Aptitude MCQ Competitive Exam 2026 | ExamTest.live

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A train travelling at a uniform speed, clears a platform 240 meters long in 10 seconds and passes a telegraph post in 6 seconds . Find the length of the train and its speed.

Solution & Step-by-step Explanation

Let the length of the train be L meters and its speed be v m/s . Case 1: Passing a telegraph post in 6 seconds. Distance = L Speed = v = \frac{L}{6} ⟹ L = 6 v — (Equation 1) Case 2: Clearing a 240 m platform in 10 seconds. Total Distance = L + 240 Speed = v = \frac{L + 240}{10} ⟹ L + 240 = 10 v — (Equation 2) Substitute Equation 1 into Equation 2: 6 v + 240 = 10 v 10 v - 6 v = 240 4 v = 240 ⟹ v = 60 m/s **Calculate length of the train (L):** L = 6 v = 6 \times 60 = 360 meters Convert speed to km/hr: Speed = 60 \times \frac{18}{5} = 12 \times 18 = 216 km/hr Therefore, the length of the train is 360 m and its speed is 216 km/hr .

Try it yourself before checking the explanation above.

A train travelling at a uniform speed, clears a platform 240 meters long in 10 seconds and passes a telegraph post in 6 seconds . Find the length of the train and its speed.

360 m, 216 km/hr

300 m, 180 km/hr

300 m, 150 km/hr

200 m, 50 km/hr

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