Working alone, ryan can dig a 10 ft by 10 ft hole in 5 hrs

jess21390

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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 would it take them if they worked together?
 
Re: Word Problem

jess21390 said:
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 would it take them if they worked together?

Ryan digs 1 hole in 5 hrs.

In 1 hr., Ryan can dig 1/5 of the hole.

Castel digs 1 hole in 6 hrs.

In 1 hr., Castel can dig 1/6 of the hole.

In 1 hr., (Ryan+Castel) can dig (1/5 + 1/6 =) 11/30 fraction of the hole.

So (Ryan+Castel) will take ??? hrs to dig 1 hole.
 
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