The Reeds are moving across the country. Mr. Reed leaves 5 hours before Mrs. Reed. If he averages 40mph and she averages 50mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed?

Respuesta :

Answer:

It will take 20 hours for Mrs. Reed to catch up with Mr. Reed

Step-by-step explanation:

Given that:

Mr. Reed leaves 5 hours early.

Speed of Mr. Reed = 40 mph

Distance covered in 5 hours = 40 * 5 = 200 miles

Let,

h be the number of hours and D be the total distance.

D = 40h + 200

Speed of Mrs. Reed = 50 mph

D = 50h

For catching up, both distances will be same

D = D

50h = 40h + 200

50h - 40h = 200

10h = 200

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{200}{10}\\h=20[/tex]

Therefore,

It will take 20 hours for Mrs. Reed to catch up with Mr. Reed