Indrayani Express leaves Pune for Bombay at 17 30 hrs and reaches Bombay at 21 30 hrs While Shatabdi......

6824 views

Quant ( MASTER) Time & distance Add to Study Deck

Indrayani Express leaves Pune for Bombay at 17:30 hrs and reaches Bombay at 21:30 hrs. While, Shatabdi, which leaves Bombay at 17:00 hrs reaches Pune at 20:30 hrs. At what time do they pass each other?

15.30 hrs

19.06hrs

21.20 hrs

23.05 hrs

Explanation:

Let the distance between Bombay and Pune = d km

Indrayani’s Speed =(d/4) kmph and that of Shatabdi = (d/3.5)kmph

Let t be the time in hrs after Shatabdi has left for Pune, when the two trains meet

Therefore, distance travelled by Shatabdi = (d/3.5)* t

And that of Indrayani =(d/4) * (t-30/60)

The sum of the distances travelled by the two trains = distance between Bombay and Pune = d km

Therefore, (d/3.5)* t +(d/4) * (t-30/60)=d

Solving for t, we get t = 2.1 hrs or 2 hrs and 6 mins

The two trains meet at 19:06 hrs

Hence, option 2 is the correct answer.

By: Amit Kumar

Profile ResourcesReport error

Free
Video Courses

Free
Test Series

Free
PDF Documents

Submit Error

Let's Discuss

Post Comment

Shweta Maini

Incomplete question