SOLUTION: When Mike uses a riding mower, it takes him 3 hours to mow his lawn. When he uses a push mower it takes him 6 hours to mow the lawn. (His sister can also mow the lawn in 6 hours

Algebra ->  Rate-of-work-word-problems -> SOLUTION: When Mike uses a riding mower, it takes him 3 hours to mow his lawn. When he uses a push mower it takes him 6 hours to mow the lawn. (His sister can also mow the lawn in 6 hours       Log On


   



Question 905371: When Mike uses a riding mower, it takes him 3 hours to mow his lawn. When he uses a push mower it takes him 6 hours to mow the lawn. (His sister can also mow the lawn in 6 hours with the push mower). Mike wanted to get the lawn mowed as quickly as possible, so he paid his sister $10 to mow with the push mower while he used the riding mower. How long will it take Mike and his sister to mow the lawn if they work together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x time together
1%2F6+%2B+1%2F3+=+1%2Fx |Multiplying thru by 12x so as all denominators = 1
2x + 4x = 12
6x = 12
x = 2hr, time together