SOLUTION: Please help me set up the following word problem: Kyle can load his truck in 24 minutes. If his brother helps him, it takes 15 minutes to load the truck. How long does it take K

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Please help me set up the following word problem: Kyle can load his truck in 24 minutes. If his brother helps him, it takes 15 minutes to load the truck. How long does it take K      Log On


   

Question 225631: Please help me set up the following word problem:
Kyle can load his truck in 24 minutes. If his brother helps him, it takes 15 minutes to load the truck. How long does it take Kyle's brother alone?
Thank you for your help.
Found 2 solutions by checkley77, scott8148:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
24x/(24+x)=15
24x=15(24+x)
24x=360+15x
24x-15x=360
9x=360
x=360/9
x=40 minutes for his brother working alone to load the truck.
Proof:
24*40/(24+40)=15
960/64=15
15=15

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the FRACTION of the truck that Kyle loads is 15/24

the FRACTION that Kyle' brother loads is 15/B, where B is the brother's time alone

the two FRACTIONS sum to 1, the WHOLE job

15/24 + 15/B = 1






**********************SOLUTION BELOW*************************



multiplying by 24B (LCD) ___ 15B + 360 = 24B

subtracting 15B ___ 360 = 9B

dividing by 9 ___ 40 = B