The distance between two stations A, B is 390 A train starts from station A at 10 AM

The distance between two stations A, B is 390 A train starts from station A at 10 AM and travels towards station B at 65 kmph. Another train starts from station B at 11 AM and travels towards station A at 35 kmph. The time they meet is

  1. 2 PM
  2. 2.15 PM
  3. 2.30 PM
  4. 2.45 PM
Anurag Mishra Professor Asked on 20th April 2016 in Maths.
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1 Answer(s)

Answer: (2) 2.15 PM 

Solution:-
Let they meet X hours after 10 a.m.

According to the question, 
Distance moved by first in X hours + Distance moved by second in (X – 1) = 390
Then, 65 X + 35 (X – 1) – 390
65 X + 35 X – 35 = 390
100 X = 390 + 35
100 X = 425 
X = 425/100
X = 4.25 

So, they meet 4 hours and 15 minutes after 10 a. m. 
Then, time will be 2.15 p.m.

Hence, the correct answer is option (2) 2.15 PM. 

Anurag Mishra Professor Answered on 22nd April 2016.
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