college algebra

Question

By checking work records, a carpenter finds that Juanita can build a small shed in 14 hours. Anton can do the same job in 20 hours. How long would it take to build 7 sheds if they worked together?

It will take them ? hour(s) ? minute(s) to build 7 sheds together.

If needed, round answer to 1 decimal places.

Answer 1

Juanita's work rate is 1/14 shed per hour

Anton's word rate is 1/20 shed per hour

their combined work rate is (1/14+1/20) = (20+14)/280 = 34/280 = 17/140

They can build the shed is 140/17 hours = 8.2352941176470588235294117647059‬

8.2352941176470588235294117647059‬*7 = 57.647058823529411764705882352941‬

2 days 9 hours 38 min 50 sec