Question

Jamal and Cleo mow lawns together, Jamal can mow an average lawn in 60 minutes by

himself. Cleo would take 90 minutes for the same job. How long would it take both of
them together to mow one (1) lawn

Answer 1

Jamal and Cleo together would take 36 minutes to mow one lawn based on their rates of mowing lawns, which are 60 minutes and 90 minutes respectively.

Step-by-step explanation:

To find out how long it would take Jamal and Cleo to mow one lawn together, we can add their rates of mowing lawns. Jamal can mow a lawn in 60 minutes and Cleo in 90 minutes. Let's assign a variable to represent the time it takes them together, 't'.

So, Jamal's rate is 1 lawn per 60 minutes or 1/60 lawns per minute, and Cleo's rate is 1 lawn per 90 minutes or 1/90 lawns per minute. When they work together, their combined rate is the sum of their rates, which is 1/60 + 1/90 = 3/180 + 2/180 = 5/180 lawns per minute.

To solve for 't', we can set up an equation: 5/180 = 1/t. Cross-multiplying, we get 5t = 180, and by dividing both sides by 5, we find that t = 36 minutes.

Therefore, it would take Jamal and Cleo together 36 minutes to mow one lawn.