Lisa takes 3 hours to mow the lawn, while her cousin, Barb, takes 2 hours. How long will it take them working together?
2 answers:
Answer:
t=72 minutes
Step-by-step explanation:
If it takes Lisa 3 hours to mow the lawn, then she mows 13 of the lawn per hour. Barb takes 2 hours to do it alone so she completes 12 of the lawn each hour. Working together, they mow the lawn in some time t. This can be written as
+
=
Multiply each side by the least common denominator, 6t.
6t(+
)=6t(
)
Simplify and solve.
2t+3t=6
We can multiply the fraction by 60 to convert the fraction of an hour to minutes.
t= (60 minutes)
To mow the lawn, it takes the two working together
t=72 minutes.
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