Question

Adele is driving her car near the Tri-State area. She covers a distance of 221.05 miles in 4 hours. She then stops at a diner, and drives 83 miles more at the same speed. What would be the best estimate of the time she took to cover this last distance?

A.
2 hours
B.
1 hour
C.
2.5 hours
D.
1.5 hours

Answer 1

The answer is D. 1.5 hours

Answer 2

Hello!

The answer is D. 1.5 hours

Why?

First we need to calculate the speed using the following formula and the given information:

`x_(f)=x_(o)+v*t\\x_(f)-x_(o)=v*t\\\\d=v*t`

Where:

`d=distance\\x_(f)=FinalPoint\\x_(o)=InitialPoint\\v=velocity/speed\\t=time`

By substiting we have:

`v=(distance)/(time)=(221.05miles)/(4hours)=55.26(miles)/(hour)`

So, to calculate the time she took to cover the last distance, we need to use the calculated speed:

`distance=v*t\\t=(distance)/(speed)\\t=(83miles)/(55.26(miles)/(hour))=1.50hours`

The time she took to cover the last distance is D. 1.5 hours

Have a nice day!