Question

juan starts walking at 4 miles per hour. an hour and a half later, cathy starts jogging along the same route at 5 miles per hour. how long will it take cathy to catch up with juan?juan starts walking at 4 miles per hour. an hour and a half later, cathy starts jogging along the same route at 5 miles per hour. how long will it take cathy to catch up with juan?

Answer 1

6 hours

Explanation:

They meet at distance d from their starting point.

Juan walks at 4 mph for time t.

Cathy jogs at 5 mph for time t - 1.5 since she starts 1.5 hour later.

speed = distance/time

distance = speed × time

Juan

d = 4t

Cathy

d = 5(t - 1.5)

4t = 5t - 7.5

t = 7.5

They meet 6.5 hours after Juan started walking.

Cathy jogged for 1.5 hours less than Juan walked.

7.5 hours - 1.5 hours = 6 hours

Answer: 6 hours