The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.