Question

Mitchell and Kareem have to stuff and mail 150 envelopes. If Mitchell can stuff and mail 30 envelopes in an hour and Kareem can do 40 in an hour, how many hours will it take for both of them to complete the task together?

a) 2 hours
b) 2.5 hours
c) 3 hours
d) 3.5 hours

Answer 1

Mitchell and Kareem can complete the task in 2.5 hours.

Step-by-step explanation:

To find out how long it will take for Mitchell and Kareem to complete the task together, we need to add up their rates of completing envelopes. Mitchell can stuff and mail 30 envelopes in an hour, and Kareem can do 40 in an hour. So, their combined rate is 30 + 40 = 70 envelopes per hour. Since they need to stuff and mail 150 envelopes, we divide this number by 150 to find out how many hours it will take: 150 / 70 = 2.14 hours. Since we can't have a fraction of an hour, and the closest option is 2.5 hours, the correct answer is b) 2.5 hours.