Lee can mow a lawn in 30 minutes. It takes Ito 50 minutes to mow a lawn of the same size. How long would it take them to mow the lawn if they work together?

Question

Quizplus · Accepted Answer

Lee's rate is 1/30 of the lawn per minute, and Ito's rate is 1/50 of the lawn per minute. Working together, their combined rate is 1/30 + 1/50 = 5/150 + 3/150 = 8/150 = 4/75 of the lawn per minute. To find the time it takes to mow the entire lawn, take the reciprocal of their combined rate: 75/4 = 18.75 minutes.

Lee Can Mow a Lawn in 30 Minutes