Question

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it take them if they worked together?

Explain too please, thanks.

Answer 1

x/5+x/6=1
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
8/30 hr=16 minutes

2 hours 16 minutes.
Hope this helped.

Answer 2

.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let 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