Question

You and your friend are going into business mowing lawns. If you can mow a 1 acre lawn in 35 minutes and your friend can mow a 1 acre lawn in 50 minutes, how long will it take for you to mow 6 acres together? How much will you make if your combined rate is $20/hour?

Answer 1

80$ (maybe 85)

Explanation:

combined rate =20$/hour

It can take 85 minutes for you and your friend to mow 2 acres. 35+50=85. So 85*3 (because 6/2=3) is the number of minutes you work. 255 minutes. So 4.25 hours. If you are only being paid for hours, then you will make $80. If you are being paid the extra minutes the $85. I believe that the answer you should pick is $80.

Answer 2

$41.18

Explanation:

35/50 = 0.7

Therefore, in the time it takes you mow 1 acre, your friend mows 0.7 acres

Therefore, for every 35 minutes = 1 + 0.7 = 1.7 acres are mowed by you and your friend combined.

⇒ 1.7 ÷ 35 = 0.04857142... acres mowed every minute

⇒ 6 ÷ 0.04857142... = 123.5294118... minutes to 6 acres

Therefore, it takes 35/17 hours for you and your friend to mow 6 acres

If your rate is $20 per hour, then 35/17 x 20 = $41.18