Top 100+ Problems on Trains with Solutions Pdf Free Download - 1

Ans: D

Speed of the train = $$(60 × {5} / {18})$$ m/sec

                           = $$({50} / {3})$$ m/sec

Distance covered = (280 + 220) m = 500 m.

∴ Required time = $$(500 × {3} / {50})$$ sec = 30 seconds.

Ans: C

Total distance covered = (100 + 100)m = 200 m

Time taken = 10 second

∴ Speed of the train = $$({200} / {10})$$ m/sec

                               = $$({200} / {10} × {18} / {5})$$ km/hr = 72 km/hr.

Ans: C

Let us name the trains as A and B.
Then, (A’s speed) : (B’s speed) = √b : √a = √6 : √9 = 4 : 3.

Ans: C

Speed of the train = $$(90 × {5} / {18})$$ m/sec

                           = 25 m/sec

Length of the train = (speed x time)

                           = (25 x 10) m = 250 m.

Ans: C

Total distance covered = (260 + 120) meter = 380 meter

Time taken = 19 seconds

∴ Speed of the train = $$({380} /{19})$$ m/sec

                                = 20 m/sec = $$(20 × {18} / {5})$$ km/hr

                                = 72 km/hr