Q. 54.5( 15 Votes )

# 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.

Answer :

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.

Also,

Adding the two equations

⇒ 30/a - 15/a = 3

⇒ a = 5 km/hr

Thus, 30/5 – 30/b = 2

⇒ b = 7.5 km/hr

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PREVIOUSA boat goes 24 km upstream and 28 km downstream in 6 hrs. It goes 30 km upstream and 21 km downstream in hrs. Find the speed of the boat in still water and also speed of the stream.NEXTA man walks a certain distance with certain speed. If he walks 1/2 km an hour faster, he takes 1 hour less. But, if he walks 1 km an hour slower, he takes 3 more hours. Find the distance covered by the man and his original rate of walking.

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