100+ Problems on Trains Aptitude Questions and Answers - 1

Ans: D

Relative speed = (25 + 2) km/hr = 27 km/hr

= $$(27 × {5} / {18})$$ m/sec = $$({15} / {2})$$ m/sec

∴ Time taken by the train to pass the man = $$(270 × {2} / {15})$$ sec = 36 sec.

Ans: B

Speed = $$(60 × {5} / {18})$$m/sec = $$({50} / {3})$$m/sec.

Length of the train = (Speed x Time) = $$({50} / {3} × 9)$$m = 150m.

Ans: C

Time taken by train to cross a pole = 9 sec.

Distance covered in crossing a pole = length of train

Speed of train = 48 km/hr

= $$({48 × 5} / 18)$$ m/sec

= $${40} / {3}$$ m/sec

∴ Length of train = speed x time = $${40} / {3} × 9$$ = 120 m

Ans: D

Relative speed of the two trains = (60 + 48) kmph

= 108 kmph

= $$(108 × {5} / {18})$$m/sec = 30 m/sec.

Time taken by the trains to pass each other
= Time taken to cover (240 + 270) m at 30 m/sec = $$({510} / {30})$$ sec = 17 sec.

Ans: B

Speed of train relative to man = (42 – 6) kmph = 36 kmph

= $$(36 × {5} / {18})$$m/sec = 10 m/sec.

∴ Time taken to pass the man = $$({180} / {10})$$ sec = 18 sec.