Question

Randall is 140 miles away from Gregory. They are traveling towards each other. If Gregory travels 4 mph faster than Randall and they meet after 7 hours, how fast was each traveling?

Answer 1

8 mph, 12 mph

Step-by-step explanation:

t = Time taken = 7 hours

x = Speed of Randall

x+4 = Speed of Gregory

The distance they both will travel together is 140 miles if they start at the same time.

`Distance=Speed* time`

`(x+4)t+xt=140\\\Rightarrow (x+4)7+7x=140\\\Rightarrow 7x+28+7x=140\\\Rightarrow 28+14x=140\\\Rightarrow x=(140-28)/(14)\\\Rightarrow x=8\ mph`

The speed of Randall is 8 mph

The speed of Gregory is 8+4 = 12 mph