SOLUTION: A machine can harvest the farm in 15 days working for 8 hours a day. How long will 2 machines take to harvest it if they were used for 10 hours?

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Question 1174271: A machine can harvest the farm in 15 days working for 8 hours a day. How long will 2 machines take to harvest it if they were used for 10 hours?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The entire job is   15*8 = 120   machine-hours.

Two machines,  working  10  hours per day each,  will complete the job in   120%2F%282%2A10%29 = 6 days.         ANSWER


Solved.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


15 days with one machine working 8 hours a day.

Using 2 machines instead of 1 multiplies the required number of days by a factor of 1/2.

Working 10 hours a day instead of 8 multiplies the required number of days by a factor of 8/10 = 4/5.

So the number of days required with 2 machines working 10 hours a day is

(15)(1/2)(4/5) = 6