Question

N 2.5 hours a hurricane traveled 312.5 miles. If the average rate at which the hurricane is moving increases by 8%, how many miles will the hurricane travel in the next 1.5 hours?

A. 223
B. 202.5
C. 135
D. 101.5

Answer 1

Ok since 2.5 hours travels 312.5 miles, half of 2.5 hours will be 156.25 miles. Half of 2.5 hours will be 1.25, so it has to be greater than C or D. The average rate is 0.08. And the sum will be very long and I did the math and i believe that the answer can't end without a decimal so I highly recommend that the answer is B

Answer 2

The hurricane will travel
`202.5 mi`

Therefore, the correct answer is B.202.5

Explanation:

We define the average speed rate as the position variation divided by the time variation ⇒ Given that the hurricane traveled 312.5 miles in 2.5 hours :

Average speed rate = Position variation / time variation = Δx / Δt =
`(312.5mi)/(2.5h)=125(mi)/(h)`

Now, the average speed rate increases by 8% :

`(125(mi)/(h))/(100)=(x)/(108)  \\x=((125(mi)/(h))/(100)).(108)=135(mi)/(h)`

The new average speed rate is
`135(mi)/(h)`

Given that
`Speed=(Distance)/(Time)` ⇒

`Distance= (Speed).(Time)`

In the next 1.5 hours the hurricane will travel

`Distance=(135(mi)/(h)).(1.5h)=202.5mi`

The correct answer ir B.202.5