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 does Shyam overtake Ram ?

Accepted Answer

B - $10: 30 \mathrm{AM}$. Shyam cannot catch Ram before B (that would take until 10:30, but Ram reaches B at 10:00). Shyam reaches B at 10:15, when Ram is 1.25 km back towards A. Gaining at 10-5 = 5 km/h, Shyam closes the gap in 0.25 h, at 10:30 AM.

Answer

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

Answer

C - $10: 40 \mathrm{AM}$

Answer

D - $10: 50 \mathrm{AM}$

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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