Question

It takes Imani seven hours to dig a 10 ft by 10 ft hole. Stefan can dig the same hole in five hours. If they worked together how long would it take them

Answer 1

2 hours and 44 min. or 2.7273 hours

Explanation:

Ryan: 1 hole per 5 hours

Castel: 1 hole per 6 hours

x = time if working together then

x(1/5 + 1/6) = 1

x(6 + 5) = 30

11x = 30

x = 30/11

x = 2.7273 hours

or

x = 2 hours and 44 minutes