SOLUTION: Working alone, Alexia can dig a 68 cubic foot hole in 8 hours. Working together, Alexia and Brandon can dig a 100 cubic foot hole in 6 hours and 15 minutes. Working alone, how long

Question 1029454: Working alone, Alexia can dig a 68 cubic foot hole in 8 hours. Working together, Alexia and Brandon can dig a 100 cubic foot hole in 6 hours and 15 minutes. Working alone, how long would it take Brandon to dig 50 cubic feet. How long in hours? How long in hours and minutes?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Working alone, Alexia can dig a 68 cubic foot hole in 8 hours.
Working together, Alexia and Brandon can dig a 100 cubic foot hole in 6 hours and 15 minutes. Working alone, how long would it take Brandon to dig 50 cubic feet. How long in hours? How long in hours and minutes?
:
Find how many cu/ft that Alexia can dig in 1 hr:
= 8.5 cu/ft per hr
:
Find how many cu/ft that Alexia and Brandon can dig in 1 hr
= 15.38 cu/ft per hr
Then
15.3846 - 8.5 = 6.8846 cu/ft per hr Brandon digging alone
:
" Working alone, how long would it take Brandon to dig 50 cubic feet.
How long in hours?
= 7.2626 hrs
How long in hours and minutes?
7 + .2626(60) = 7 hrs 15.75 min

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