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

Question

2 years ago

10

. The total time for the trip was 1.5 hours. Use this information to find the speed of the current.

1 answer:

Lesechka [4] · Answer 1 · 2022-07-02T00:48:56+03:00

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