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A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?

User Edward Loper
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1 Answer

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9 votes

The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.

What is the speed of a body?

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,


S=(D)/(T)

Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.

Total time the patrol boat took in hours is,


T = 5 + (20)/(60)

T=5+0.3333

T=5.3333 hours

The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,


T=(20)/(12)

T=1.6667 Hours

Thus, the total time is,

T=5.3333+1.6667

T=7 Hours

Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,


S=(20)/(7)

S=2.857 kmph

User Nbecker
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