Stan Mows Lawn Alone: Math Problem Solution

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SUMMARY

Stan and Hilda can mow a lawn together in 40 minutes. Hilda works at a rate twice that of Stan. By establishing the rates of work as variables, where Hilda's rate is x and Stan's rate is y, the problem can be solved using algebraic equations. The completion time for Stan to mow the lawn alone can be derived from these equations, leading to a definitive solution based on their combined work rate.

PREREQUISITES
  • Understanding of algebraic equations and variables
  • Familiarity with job completion problems
  • Knowledge of rates and time calculations
  • Ability to set up and solve linear equations
NEXT STEPS
  • Study the concept of job completion problems in algebra
  • Learn how to set up equations for combined work rates
  • Practice solving linear equations with multiple variables
  • Explore real-world applications of algebra in problem-solving
USEFUL FOR

Students learning algebra, educators teaching mathematics, and anyone interested in solving practical math problems related to work rates.

joanne1218
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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 a lot
 
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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 a lot

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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