Question

greg's father can mow the lawn on his riding mower in 45 minutes. It takes Greg 1 hour 45 minutes to mow the lawn with a push mower. What rational equation can be solved for the number of minutes t it would take them to mow the lawn working together?

Answer 1

1 = t/45 + t/105

Explanation:

Greg's father mow a lawn in 45 minutes that means that he mow in a rate of 1/45

Greg mow a lawn in 1 hour 45 minutes (105 minutes) that means that he mow in a rate of 1/105

If they mow a lawn in t minutes that means the rate is 1/t

Then, the rate in which they mow a lawn has to be equal to the sum of the rate individually as follows

1/t = 1/45 + 1/105

1 = t/45 + t/105