SOLUTION: it takes Steve 3 hours to mow the lawn and Shannon 4 hours to mow the same lawn. How long would it take them to mow the lawn together?

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Question 291155: it takes Steve 3 hours to mow the lawn and Shannon 4 hours to mow the same lawn. How long would it take them to mow the lawn together?
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
it takes Steve 3 hours to mow the lawn and Shannon 4 hours to mow the same lawn. How long would it take them to mow the lawn together?
+1%2F%281%2F3+%2B+1%2F4%29+
+1%2F%284%2F12+%2B+3%2F12%29+
+1%2F%287%2F12%29+
12/7 or 1 5/7 or approx 1.7 hours
would make sense for them to take less than 3 hours
1 job per 3 hours = 1/3 jobs per hour
1 job per 4 hours = 1/4 jobs per hour
add and take reciprocal to find how long it takes to mow together
which is about 1.7 hours