While covering distance of 30 km. Ajeet takes 2 hours more than Amit. If Ajeet doubles his speed, he would take 1 hour less than Amit. Find their speeds of walking.

Matching exercise

    
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
Speed = distance/time


Let the speed of Ajeet be ‘a’ and speed of Amit be ‘b’.


Given, while covering distance of 30 km. Ajeet takes 2 hours more than Amit. If Ajeet doubles his speed, he would take 1 hour less than Amit.

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Adding the two equations


⇒ 30/a - 15/a = 3


⇒ a = 5 km/hr
Thus, 30/5 – 30/b = 2


⇒ b = 7.5 km/hr