A plane flew for 4 hours heading south and for 6 hours heading east. If the total distance traveled was 3,370 miles, and the plane traveled 45 miles per hour faster heading south, at what speed was the plane traveling east?

Question

Mathematics

Mattie Gross

28 October, 00:28

A plane flew for 4 hours heading south and for 6 hours heading east. If the total distance traveled was 3,370 miles, and the plane traveled 45 miles per hour faster heading south, at what speed was the plane traveling east?

+3

Answers (1)

Know the Answer?

Nicky · Answer 1

We know the total distance and individual times, so we can sum and equate total distance.

Let

E=speed heading east

E+45=speed heading south

then

4 (E+45) + 6E=3370 miles

Solve for E:

4E+180+6E=3370

10E=3370-180=3190 mph

E=319 mph.