SOLUTION: Mr. Mann can lay a walk in 6 days, and Mr. Gregory in 8 days. How long will it take Mr. Mann alone to finish the job after both have worked 3 days ?

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Question 937610: Mr. Mann can lay a walk in 6 days, and Mr. Gregory in 8 days. How long will it take Mr. Mann alone to finish the job after both have worked 3 days ?
Found 2 solutions by TimothyLamb, MathTherapy:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
r = w/t
rates are additive:
r = 1/6 + 1/8
r = 0.29166666666
---
fraction of the job completed when both men work together for 3 days:
w = rt
w = 0.29166666666*3
w = 0.87499999998
---
fraction of the job remaining after both men work together for 3 days:
w = 1 - 0.87499999998
w = 0.125
---
time it will take Mr. Mann working alone to complete the remaining job:
t = w/r
t = 0.125/(1/6)
t = 0.75 days
---
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Mr. Mann can lay a walk in 6 days, and Mr. Gregory in 8 days. How long will it take Mr. Mann alone to finish the job after both have worked 3 days ?
Fraction of work done by both, working together: 7%2F8

Time Mann takes to complete remaining 1%2F8 of work: highlight_green%283%2F4%29 day

You can do the check!! 

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