Arvind starts walking at 2 p.m. with the speed of 5 km/hr from P to Q.

Gopal goes on cycle at 3 p.m. with 10 km/hr from P to Q.

At what time Gopal will cross Arvind ?

** Option:**

**A.**3.15 p.m.

**B.**3.20 p.m.

**C.**3.30 p.m.

**D.**4.00 p.m.

**Answer: D . 4.00 p.m.**

** Justification:**

Suppose, Gopal will cross Arvind after hour of Gopal's start.

Now, distance covered by Arvind = $(5 + 5/t)$ km

and distance covered by Gopal = $10/t$ km

Thus, $5 + 5/t = 10/t$ or $5=5/t$ or t = 1 hr.

Hence, Gopal will overtake Arvind at (3 + 1) p.m. = 4 p.m.