Question 211090
Bob can groom a horse in 2 hours. Eddie can do it in 1 1/2 hours. How long will it take to groom one horse if they work together?
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Bob DATA:
time = 2 hr/job ; rate = 1/2 job/hr
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Eddie DATA:
time = 3/2 hr/job ; rate = 2/3 job/hr
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Together DATA:
time = x hr/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/2 + 2/3 = 1/x
The least common multiple of the denominators is 6x.
Multiply thru by 6x to get:
3x + 4x = 6
7x = 6
x = 6/7 hr. (time required for them to do the job together)
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Cheers,
Stan H.