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, a

Question

3 years ago

13

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, a

nd 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

Mathematics

2 answers:

olga nikolaevna [1] · Answer 1 · 2022-07-05T00:06:07+03:00

olga nikolaevna [1]3 years ago

7 0

The answer is D. 1.5 hours

stellarik [79] · Answer 2 · 2022-07-05T01:42:37+03:00

<h2>Hello!</h2>

The answer is D. 1.5 hours

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!