SOLUTION: Stan and Hilda can mow the lawn in 60 minutes if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Stan and Hilda can mow the lawn in 60 minutes if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?      Log On


   

Question 1084878: Stan and Hilda can mow the lawn in 60 minutes if they work together. If Hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Hilda takes x minutes, Stan takes 2x minutes
in 1 minute, Hilda does 1/x and Stan does 1/2x
that sum=60 minutes
so 1/x+1/2x=1/60, the proportion that is done by both in 1 minute
multiply everything by 60x
60+30=x
x=90 minutes for Hilda, and 2x=180 minutes for Stan
in 60 minutes, Hilda does 2/3 and Stand does 1/3, sum is 1.