<PRE><B>Question 586059</B>
 Together Leonard and Donte can do a job in 4 hours and 16 minutes.
 If it takes Leonard 8 hours to do the job alone how long would it take Donte to do the job alone ?
:
Let d = time required by D to do the job alone
Let the completed job = 1
:
Do the problem in minutes
4 hr 16 min = 256 min
8 hrs = 480 min
:
{{{256/480}}} + {{{256/d}}} = 1
multiply by 480d
480d*{{{256/480}}} + 480d*{{{256/d}}} = 480d
Cancel the denominators
256d + 480(256) = 480d
122880 = 480d - 256d
122880 = 224d
d = {{{122880/224}}}
d = 548.57 minutes converts to 9 hrs 8.57 min

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