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Erica laves for the sale at 7:00 am traveling at an average speed of 45mph.
Two hours later, Jason leaves for the same sale traveling at an average speed of 60mph.
In how many hours will it take Jason to catch up with Erica?

Respuesta :

absor201

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

[tex]45x=60x-90 \\90=60x-45x\\90=15x\\15x=90[/tex]

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{90}{15}\\x=6[/tex]

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

Keywords: speed, distance

Learn more about distance at:

  • brainly.com/question/12501490
  • brainly.com/question/12522674

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