Mr warren drove from Townsville to villaville at 70 mph and back again at a speed of 50 mph. His total driving time was 12 hours. How far apart are the two towns

Call the distance between the towns 'D'.

The time it takes to cover a distance is (distance) divided by (speed).

It takes Mr. Warren D/70 hours on the first trip,

and it takes him D/50 hours on the return.

All together, it takes him 12 hours.

D/70 + D/50 = 12 hours

Change the fractions to

a common denominator

(350) for adding: 5D / 350 + 7D / 350 = 12

Add: 12D / 350 = 12

Divide each side by 12 : D / 350 = 1

Multiply each side by 350 : D = 350 miles.

Check:

Going: 350mi / 70 mph = 5 hours

Coming: 350mi / 50 mph = 7 hours

Total 12 hours yay!

Warren drove from Townsville à Villaville at 70 miles per hour

and from Villaville to Townsville è 50 miles per hours

He drove for a total of 12 hours.

=> 70 miles + 50 miles = 120 miles

=> 12 hours

So the unit rate of his driving is 120 miles / 12 hours

=> 120 miles / 12 hours

=> 10 miles / hour

thus, he drove in total for 10 miles per hour.

And probably the 2 towns are about 60 miles away.