You can mow 2 acres of your field in an hour andyour brother can mow 3 acres in 2 hours. Working together, how long will it take to mow a 14 acre field?
rate = acres/time
2 acres / 1 hour + 3 acres / 2 hours = 14 acres / x hours
2/1 + 3/2 = 14/x
7/2 = 14/x
x = 14 * 2/7 = 4hours for both working
Another way to look at it:
With both of you working , you can mow 3.5 acres each hour
14 acres / (3.5 acres/hr) = 4 hours