SOLUTION: Working together, Manny and Kara can shovel the snow in 18 minutes. Working alone, it would take Kara 44 minutes. How long would it take Manny to shovel the snow by himself?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Manny and Kara can shovel the snow in 18 minutes. Working alone, it would take Kara 44 minutes. How long would it take Manny to shovel the snow by himself?      Log On


   

Question 1022624: Working together, Manny and Kara can shovel the snow in 18 minutes. Working alone, it would take Kara 44 minutes. How long would it take Manny to shovel the snow by himself?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
"Shovel snow" does not indicate HOW MUCH SNOW, but assume the shoveling of snow will be a constant quantity of snow and is ONE JOB.

Rate doing a job, RT=J.

Different people working at each different rate use unit of JOB AMOUNT per TIME. 

Person            Rate 

MANNY              1%2Fm

KARA               1%2F44

BOTH COMBINED      1%2F18


1%2Fm%2B1%2F44=1%2F18

Common denominator is 2%2A2%2A3%2A3%2A11%2Am.
%2836%2A11m%29%281%2Fm%2B1%2F44%29=%2836%2A11m%29%2F18
36%2A11%2B9m=22m
13m=36%2A11
m=30 to two significant figures