A 520 m long train running at a uniform speed, crosses a platform in 40 seconds and a person standing on the platform in 26 seconds.  What is the length (in meters) of the platform?

250 m 280 m 270 m 300 m

280 m

While crossing the man: Length of train = Distance = Speed × Time 520 = S × 26 S = 20 m/sec While crossing the platform: (520 + P) = 20 × 40 P = 800 - 520 P = 280 m