Examples - Work word problems
Example Solving Word Problems: Algebra Applications > Work Problems > Time to do alone, Time to do together
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What You Enter
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
What You Get
Time for PETER alone is 40 Minutes.
Time for JOHN alone is 60 Minutes.
Let T = Time together in Minutes.
1 1 1
-- + -- = -
40 60 t
LCM of 40 and 60 = 600.
15 + 10 1
------- = -
600 t
25 1
----- = -
600 t
600
t = ----- Minutes
25
GCF of 25 and 600 = 25.
t = 24 Minutes
Solution: t = 24 Minutes
