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:

$v=\frac{distance}{time}=\frac{221.05miles}{4hours}=55.26\frac{miles}{hour}$

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

$distance=v*t\\t=\frac{distance}{speed}\\t=\frac{83miles}{55.26\frac{miles}{hour}}=1.50hours$

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

Have a nice day!