Time, Speed & Distance Questions

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A train starts from Jammu for ...

Question

A train starts from Jammu for Srinagar at 13:30 and reaches at 17:30 another train starts from Srinagar at 15:30 and reaches Jammu at 19:00 at what time both train meet?

A) 14.5 + (4*5.5)/(4+3.5) = 16:26
B) 4/100 * (20+m)= 2
C) 13.5 + (4*5.5)/(4+3.5) = 16:26
D) 13.5 + (4*5.6)/(4+3.5) = 16:26

Solution

Speed of first train D/4
Speed of second train D/7/2=2D/7
Second train starts 2 hrs after first train so,distance travelled by first train by that time is (D/4)*2=D/2

So,for remaining distance time taken by both trains is equal to meet each other so, (2D/7)*T=D/2-(D/4)*T

T=14/15=56 mins

13:30+56mins=16:26