tom can mow a lawn in 4 hours. perry can mow the same lawn in 5 hours. how long for them to mow the lawn together?

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(1/4)+(1/5)=9/20

Then in one hour they can do 20/9
60*20/9= 133 minutes

To determine how long Tom and Perry will take to mow the lawn together, you can use the concept of work rate. The work rate is the amount of work done per unit of time. In this case, the work is mowing the lawn, and the time is the number of hours.

Let's calculate the work rate for each person:

Tom's work rate = 1 lawn mowed / 4 hours = 1/4 lawns per hour
Perry's work rate = 1 lawn mowed / 5 hours = 1/5 lawns per hour

To find the total work rate when they work together, you can simply add their individual work rates:

Total work rate = Tom's work rate + Perry's work rate
Total work rate = 1/4 + 1/5

Now, add the fractions:
Total work rate = (5 + 4) / 20
Total work rate = 9/20 lawns per hour

Finally, to find the time taken to mow the lawn together, you can use the formula:

Time = 1 / Total work rate

Substituting the value of the total work rate:

Time = 1 / (9/20)
Time = 20/9

Therefore, Tom and Perry will take approximately 2.22 hours (rounded to two decimal places) to mow the lawn together.