SOLUTION: the head gardner can mow the lawns in the city park twice as fast as his assistant. working together, they can complete the job in 80 minutes. how long would it take the head garde

Question 631081: the head gardner can mow the lawns in the city park twice as fast as his assistant. working together, they can complete the job in 80 minutes. how long would it take the head gardener working alone? if you could please just help me set up the equation so i could solve the problem thank you
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the head gardener can mow the lawns in the city park twice as fast as his assistant.
working together, they can complete the job in 80 minutes.
how long would it take the head gardener working alone?
:
Let t = required by the head guy to mow the lawn
the assist would take twice as long therefore
2t = time required by the assistant
:
Let the completed job = 1 (all the lawns mown)
:
A typical shared work equation
Each will do a fraction of the job, the two fractions add up to one
+ = 1
multiply thru by 2t to clear the denominators, then find t
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