Question

Erica laves for the sale at 7:00 am traveling at an average speed of 45mph.

Answer 1

It will take Jason 6 hours to catch up with Erica.

Step-by-step explanation:

Given,

Speed of Erica = 45 mph

Distance covered in two hours = Speed * Time = 45*2 = 90 miles

Therefore,

When Jason starts Erica has gone 90 miles.

Let,

x represent the number of hours.

Distance covered by Erica = 45x

Speed of Jason = 60 mph

Distance = 60x

We will subtract the distance covered by Erica from Jason's distance.

Distance = 60x - 90

For catching up;

Erica's distance = Jason's distance

$45x=60x-90 \\90=60x-45x\\90=15x\\15x=90$

Dividing both sides by 15

$\frac{15x}{15}=\frac{90}{15}\\x=6$

It will take Jason 6 hours to catch up with Erica.

Keywords: speed, distance

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