Question

Two people are mowing a large lawn. One person has a riding lawnmower, and the other person has a push mower. The person with the riding mower can cut the lawn alone in 4 hours, and the person with the push mower can cut the lawn alone in 11 hours. How long does it take for them, working together, to cut the lawn? (Fractional answers are OK.)The riding mower cutting rate is____per hour.The push mower cutting rate is_____per hour.The combined cutting rate is_____It will take themer hour.It will take them______hour(s) to cut the lawn together.

Answer 1

Given:

Time it takes the person with the riding mower = 4 hours

Time it takes the person with the push mower = 11 hours.

Let's find how long it takes them working together to cut the lawn.

Apply the formula to find the cutting rate:

`rate=(distance)/(time)`

• Thus, the cutting rate for the person with the riding mower is:

`rate=(1)/(4)\text{ of the lawn per hour}`

• The cutting rate for the person with the push mower is:

`rate=(1)/(11)\text{ of the lawn per hour}`

To find the combined rate, we have: