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

Question 178530: Stan and Hilda can mow the lawn in 60 mins. 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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
Stan and Hilda can mow the lawn in 60 mins. if they work together. If hilda works twice as fast as Stan, how long does it take Stan to mow the lawn alone?
---------
Together DATA:
time = 60 min/job ; rate = 1/60 job/min
--------------------------
Hilda DATA:
time = x min/job ; rate = 1/x job/min
-----------------------------
Stan DATA:
time = 2x min/job; rate = 1/2x job/min
-----------------------------
Equation:
rate + rate = together rate
1/x + 1/2x = 1/60
60 + 30 = x
x = 90 min
-----------
Stan time = 2x = 180 min or 3 hrs.
=====================
Cheers,
Stan H.
RELATED QUESTIONS
Stan and Hilda can mow the lawn in 60 minutes if they work together. If Hilda works twice (answered by Boreal)

Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as... (answered by funmath)

Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice (answered by scott8148)

Stan and Hilda can mow the lawn in 45 min if they work together. If Hilda works twice as... (answered by richwmiller)

Stan and Hilda can mow the lawn in 30 min if they work together. If Hilda works twice as (answered by richwmiller)

Stan and Hilda can mow the lawn in 40 min if they work together. If Hilda works twice as (answered by stanbon)

Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice (answered by scott8148)

Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice (answered by stanbon)

Stan and Hilda can mow the lawn in 40 minutes if they work together. If Hilda works twice (answered by Paul)