Question

Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will it be before he overtakes Jim?

Answer 1

26 2/3 is the answer

Answer 2

26 2/3 minutes: The two boys meet after 26 2/3 minutes

Explanation:

Distance covered by Jim = Distance covered by Bob

(5 mph)(t) = (8 mph)(t - 10)

Simplify this by performing the indicated multiplication:

(5 mph)(t) = (8 mph)(t) - 80 mi

or:

80 mi = (3 mph)(t), or

80 mi

t = ----------- = 26 2/3 minutes

3 mph