SOLUTION: Solve and show all work please. Jane can mow the lawn in 3 hours, and Lester can mow it in 4 hours. If they work together, how long will it take them to mow the lawn?

Question 37114: Solve and show all work please.
Jane can mow the lawn in 3 hours, and Lester can mow it in 4 hours. If they work together, how long will it take them to mow the lawn?
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
if you think about things like this as speed = quantity/time: here the quantity is the lawn area mowed. Lets call this A for area.

So, Jane: Jane's speed = A/3
and Lester: Lester's speed = A/4

together we have still the same Area of lawn in some time, t:
Jane + Lester speed = A/t

all terms have an A, co we can cancel:

hours

which is nearly 2 hours. This makes sense --> together it would take an even quicker time.

jon.

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