Bill can mow his mother's lawn in 45 minutes. His brother Jim can mow it in 65 minutes. How long will it

take them to do it together, if each has his own lawnmower? (Record your answer in minutes rounded to one
decimal place. For example, if the answer you find is 14.2835 minutes, record 14.3)

in 45 minutes, they both can do 1 + 45/65 lawns, or 110/65 lawns in 45 minutes

time=numberlawns/rate= 1awn/(110/65 lawns/45min)

time=65*45/110 minutes

so 26.6 is the answer?

To determine how long it will take Bill and Jim to mow the lawn together, we can use the concept of their work rates.

First, let's calculate their individual work rates. Work rate is measured in "lawn per minute." Bill can mow the entire lawn in 45 minutes, so his work rate is 1 lawn divided by 45 minutes, which can be expressed as 1/45 lawns per minute. Similarly, Jim's work rate is 1/65 lawns per minute.

To find out how long it will take them to mow the lawn together, we need to add their work rates. So, their combined work rate is (1/45 + 1/65) lawns per minute.

Now, we can calculate the time it will take them to mow the lawn together using the formula:
Time = 1 / combined work rate

Calculating the combined work rate:
1/45 + 1/65 = (65 + 45) / (45 * 65) = 110 / 2925.

Now, we can calculate the time it will take them to mow the lawn together:
Time = 1 / (110 / 2925) = 2925 / 110 = 26.59 (rounded to one decimal place).

Therefore, it will take Bill and Jim approximately 26.6 minutes to mow the lawn together if each has his own lawnmower.