Question

A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total time for the trip was 7.5 hours use information to find the speed of the current

Answer 1

The speed of the current is 13 mph

What is speed?

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

Given data

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

solving for the speed of the current

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x  )( 15 - x )

7.5 ( 15 + x  )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

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