betty leaves her purse in a store at the mall and average 36mi/h on her way home to Glenville, 140 miles away. Honesty harry discovers her purse and starts after her one hour later. if he averages 48mi/h how long will it take him to catch betty? will he catch her before she reaches Glenville?

Since she has a 1-hour(36miles) head-start, he'll have to catchup in less than 2.9h

36T = 140-36 = 104.
T = 2.9 h = Time she'll reach home.

d = 48*T = 140.
T = 2.9h. So they will arrive at the same time.