A train leaves Chandigarh at 6 00 a m and reaches Delhi at 10 00 a m Another train leaves Delhi...........

Quantitative Aptitude ( CCS) Problems on trains

A train leaves Chandigarh at 6:00 a.m. and reaches Delhi at 10:00 a.m. Another train leaves Delhi at 8:00 am and Chandigarh at 11:30 a.m. At what time do the two trains meet?

8:56 a.m.

8.40 a.m.

9:56 a.m.

10:00 a.m.

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Explanation:

A train leaves Chandigarh at 6:00 a.m. and reaches Delhi at 11:00 a.m. Another train leaves Delhi at 8:00 am and Chandigarh at 11:30 a.m. At what time do the two trains meet?

Suppose distance between Delhi and Chandigarh is 28 kms. (cm 4,7)
time taken 4 hr and 7/2 hr
Then speed of first train = 28/4= 7 kmph
speed of 2nd train = 28/3.5= 8 kmph

If trains met after t hours from 6 AM, then
7t + 8*(t-2) = 28
15t = 44
t = 44/16 hours = 2 hrs 56 mins.