A train leaves Delhi at 10 a m and reaches Jaipur at 4 p m on same day Another train leaves Jaipur a...........

Quantitative Aptitude (CGL) Problems on trains

A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?

1:42 p.m.

1:27 p.m.

2:04 p.m.

1:49 p.m.

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Explanation:

Time of A: Time of B = 6:5
Speed A : Speed B = 5:6
Let speeds be 5K and 6K
Train A travels 2 hours before Train B starts from Jaipur.
In remaining 4 hours it will cover 5K x 4/= 20K kms
=> Distant between two trains at 12PM = 20K
Time to meet = Distance/Relative Speed
= 20K/(5K + 6K) = 20/11 = 1 9/11 Hours
= 1 hour 9/11 x 60 = 49 minutes 5 Seconds.
They meet at 12PM + 1 Hrs 49 m 5 s = 1:49:05 PM