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lesya692 [45]
2 years ago
10

A motorboat maintained a constant speed of 15 miles per hour relative to the water in going 10 miles upstream and then returning

. The total time for the trip was 1.5 hours. Use this information to find the speed of the current.
Physics
1 answer:
Lesechka [4]2 years ago
6 0

Answer:

speed of current is 5 mile/hr

Explanation:

GIVEN DATA:

speed of motorboat = 15 miles/hr relative with water

let c is speed of current

15-c is speed of boat at  upstream

15+c is speed of boat at downstream

we know that

travel time=distance/speed

\frac{10}{15-c} +\frac{10}{15+c} = 1.5

150+10c+150-10c=1.5(15-c)(15+c)

300=1.5(225-c^2)

300=337.5-1.5c^2

200=225-c^2

c^2=25

c = 5

so speed of current is 5 mile/hr

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