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cfc198
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cfc198 CAT questions have only 4 options pls remove the 5th option in this question and keep the official 4 options.
cfc198
Two trains traveling at the same speed take 10 seconds and 15 seconds respectively to cross a telegraph post. Find the time taken by the trains to cross each other if traveling in opposite directions.

1. 6 sec
2. 12 sec
3. 12.5 sec
4. 25 sec
5. Cannot be determined
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let,
Speed of both trains be 'X'.

Trains are moving in opposite direction, Relative speed = 2X
now, Total time(T) = Total Distance covered(D)/ Relative speed(Vr)

T = (10X+15X)/2X = 25/2
T = 12.5 sec.
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Time Speed and distance (TSD) is tricky topic as any type of situation can be made and solution get tricky, but if your concepts are clear then no need to worry. only solution solve as many types of question you can possible:


Let the trains’ speed be x m/s.
Distance covered by first train = 10x.
Distance covered by second train = 15x.

When they travel in opposite directions, relative speed = x + x = 2x.
Time to cross = (10x + 15x) / (2x) = 25x / 2x = 12.5 seconds.

Logical view: with equal speeds, relative speed doubles, so crossing time is half the time it would take if they were moving same direction; total distance 10 + 15 = 25 (in units of x), half of 25 is 12.5.
Option : 3/C
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