CAT 2020 Time, Speed and Distance Question (Medium)

Question

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to

Accepted Answer

Step 1 Let train speed km h, train length meters Relative speed w.r.t. person A 2 km h km h m s Time 90 s Relative speed w.r.t. person B 4 km h km h m s Time 100 s Equating both expressions for Expand and solve km h Step 2 Train speed 22 km h m s Substitute in meters Time to cross a post Final Answe

CAT 2020

Quantitative

Time, Speed and Distance

Medium

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to

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