SOLUTION: Hector can shovel show off the sidewalks in three hours (He doesn’t live in Southern California, of course). Oliver can shovel snow off the same sidewalks in 2 hours. How long

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Hector can shovel show off the sidewalks in three hours (He doesn’t live in Southern California, of course). Oliver can shovel snow off the same sidewalks in 2 hours. How long      Log On


   

Question 309861: Hector can shovel show off the sidewalks in three hours (He doesn’t live in Southern California, of course). Oliver can shovel snow off the same sidewalks in 2 hours. How long will it take them to shovel the snow off
the sidewalks if they work together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Hector can shovel show off the sidewalks in three hours (He doesn’t live in Southern California, of course). Oliver can shovel snow off the same sidewalks in 2 hours. How long will it take them to shovel the snow off
.
Let t = time it takes for both to work together
then
t(1/3 + 1/2) = 1
multiplying both sides by 6:
t(2 + 3) = 6
5t = 6
t = 6/5 hours
or
t = 1 hour and 12 minutes