Question

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Find the speed of Abhay.

• A. 4 km/h
• B. 7 km/h
• C. 5 km/h
• D. 6 km/h

Answer 1

Answer:

C. 5 km/h

⇒ Let be assume the speed of Abhay is A and the speed of Sameer is B In the first condition when both cover the distance with normal speed ⇒ 1 / A - 1 / B = 1/15 ⇒ 30 / A - 30 / B = 2 (BA) x 15 = AB ...... (1) ⇒ In the second condition when Abhay doubles its speed ⇒ (2A - B) * 15 = AB ....... (2) ⇒ By equation (1) and (2) ⇒ A / B = 2/3 .... 3) ⇒ 1 / B - 1/2 * A = 1/30 ⇒ 30 / B - 30/2 * A = 1 ⇒ By equation (1) and (3) ⇒ Abhay's speed = 5 km/h