SOLUTION: Charlotte can finish her paper route in two hours. When Ralph helps, they finished in 45 minutes. How long would it take Ralph working alone? I would really appreciate if this

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Charlotte can finish her paper route in two hours. When Ralph helps, they finished in 45 minutes. How long would it take Ralph working alone? I would really appreciate if this      Log On


   

Question 1084024: Charlotte can finish her paper route in two hours. When Ralph helps, they finished in 45 minutes. How long would it take Ralph working alone?
I would really appreciate if this was answered asap. It's due tomorrow. Thanks!
Found 3 solutions by josmiceli, MathTherapy, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working to get their
rate working together
Charlotte's rate:
[ 1 paper route ] / [ 2 hrs ]
Ralph's rate:
[ 1 paper route ] / [ t hrs ]
Their rate working together:
[ 1 paper route ] / [ 3/4 hrs ]
----------------------------------
+1%2F2+%2B+1%2Ft+=+1%2F%28%283%2F4%29%29+
+1%2F2+%2B+1%2Ft+=+4%2F3+
Multiply both sides by +6t+
+3t+%2B+6+=+8t+
+5t+=+6+
+t+=+6%2F5+
+t+=+1+%2B+1%2F5+
Converting to minutes:
+%281%2F5%29%2A60+=+12+ min
------------------------
Working alone, it takes Ralph 1 hr 12 min

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Charlotte can finish her paper route in two hours. When Ralph helps, they finished in 45 minutes. How long would it take Ralph working alone?
I would really appreciate if this was answered asap. It's due tomorrow. Thanks!
Correct answer: Ralph takes:

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, time for Ralph alone

1%2F2%2B1%2Fx=1%2F%283%2F4%29
-

1%2F2%2B1%2Fx=4%2F3
6x%281%2F2%2B1%2Fx%29=6x%284%2F3%29
3x%2B6=8x
6=8x-3x
6=5x
x=6%2F5=1%261%2F5------------1%2612%2F60
1 hour 12 minutes for Ralph to do the job alone