Kivand and Dinesh travel a distance of 60 km such that the speed of Kivand is faster than Dinesh's. The sum of their speeds is 80 km/h, and the total time taken by both is 3 hours 12 minutes. Find the speed of Kivand?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 50 km/h.
Let Kivand's speed = K km/h and Dinesh's speed = D km/h
K + D = 80 .....(1)
Total time = 3.2 hours (3 h 12 m)
60/K + 60/D = 3.2
⇒ 60(K + D)/KD = 3.2
⇒ 4800/KD = 3.2
⇒ KD = 1500 .....(2)
From (1) and (2), we get K = 50 km/h