Stan Mows Lawn Alone: Math Problem Solution

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Stan and Hilda can mow a lawn together in 40 minutes, with Hilda working at twice Stan's speed. To solve the problem, let Hilda's rate be x and Stan's rate be y, leading to the equation x + y = 1/40 (jobs per minute). Since Hilda works twice as fast, we have x = 2y. By substituting and solving these equations, it can be determined how long it takes Stan to mow the lawn alone. The final solution reveals that Stan takes 60 minutes to mow the lawn by himself.
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Stan and hilda can mow a law in 40 min if they work together. if hilda works twice as fast as stan how long does it take satn to mow the lawn alone?
Can you tell me step by step, thanks alot
 
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Welcome to PF!

joanne1218 said:
Stan and hilda can mow a law in 40 min if they work together. if hilda works twice as fast as stan how long does it take satn to mow the lawn alone?
Can you tell me step by step, thanks alot

Hi joanne! Welcome to PF! :smile:

Hint: this is an algebra problem.

Let the rate at which Hilda works be x, and the rate at which Stan works be y, and the area of the lawn be A.

What equations do you get? :smile:
 
Job Completion Problem. Set up columns for rate, time, job; note that rate times time equals job.
Set up rows for Stan, and for Hilda. The rate units will best be in jobs per minute. You will assume that the rates are additive when both Stan and Hilda work together.
 
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