Ram and Shyam run a race between points $A$ and $B, 5 \mathrm{~km}$ apart. Ram starts at 9 AM from A at a speed of $5 \mathrm{~km} / \mathrm{hr}$, reaches $B$ and returns to $A$ at the…

Question

Ram and Shyam run a race between points

A

and

B, 5 \mathrm{~km}

apart. Ram starts at 9 AM from A at a speed of

5 \mathrm{~km} / \mathrm{hr}

, reaches

B

and returns to

A

at the same speed. Shyam starts at

9: 45 \mathrm{AM}

from

\mathrm{A}

at a speed of

10 \mathrm{~km} / \mathrm{hr}

, reaches

B

and comes back to

A

at the same speed.

At what time do Ram and Shyam meet each other for the first time ?

Accepted Answer

B - $10: 10 \mathrm{AM}$. Ram reaches B at 10:00 and starts back. Shyam left A at 9:45 at 10 km/h, so at 10:00 he is 2.5 km from A, with Ram 2.5 km further on coming towards him. Closing at 15 km/h they meet after 2.5/15 h = 10 min, at 10:10 AM (the later meeting at 10:30 is the overtaking).

Answer

A - $10: 00 \mathrm{AM}$

Answer

C - $10: 20 \mathrm{AM}$

Answer

D - $10: 30 \mathrm{AM}$

Ram and Shyam run a race between points \(A\) and \(B, 5 \mathrm{~km}\) apart. Ram starts at 9 AM from A at a speed of \(5 \mathrm{~km} / \mathrm{hr}\), reaches \(B\) and returns to \(A\) at the…

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