Question 1
Find the approximate speed of a train which passes a tree in 12 seconds. Note that the length of the train is 264m.
a) 79 km/hr b) 80 km/hr c) 84 km/hr d) 74 km/hr
Answer : a) 79 km/hr
Solution:
Length of the train = 264m.
Time taken to pass the tree = 12 seconds.
Speed of the train = 264/12 m/sec = 22 m/sec = 22 x 18/5 km/hr = 79.2 km/hr.
Hence the answer is 79 km/hr.(approximately).
Question 2
A train crosses a standing man in 3 seconds and moves at a rate of 120 km/hr. Find the length of the train.
a) 200 m b) 98 m c) 260 m d) 100 m
Answer : d) 100 m
Solution :
Speed of the train = 120 km/hr = 120 x 5/18 m/s.
=100/3 m/sec.
Time taken to cross the standing man is 3 seconds.
Length of the train = Speed of the train x Time taken to cross the standing man
= 3 x 100/3 = 100 m.
Hence the train is 100 m long.
Question 3
A 480 m long train crosses a standing object in 12 seconds. Find the time taken by the train to cross a long wall of length 325 m.
a) 20 sec b) 15 sec c) 19 sec d) 21 sec
Answer : a) 20 sec
Solution :
Length of the train = 480 m
Time taken to cross an object = 12 seconds.
Speed of the train = Length of the train / Time taken to cross an object = 480/12 m/sec = 40 m/sec.
Length of the wall = 325 m
Time taken to cross the wall = (Length of the train + Length of the wall) / Speed of the train
= (480 + 325 m)/40 seconds = 805/40 = 20.12 seconds
Hence the answer is 20 seconds.
Question 4
A train crosses a long river of length 6 km and a standing man in 300 seconds and 12 seconds respectively. What will be the length of the train?
a) 170 m b) 240 m c) 150 m d) 190 m
Answer : b) 240 m
Solution :
Time taken to cross the river(6 km) = 300 seconds.
Speed of the train = Distance / Time = 6 km / 300seconds = 6000/300 m/sec = 20 m/s
Train crosses a man in 12 seconds.
Length of the train = Speed of the train x Time Taken to cross the river = 20 x 12 = 240m
Hence the required length is 240 m.
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