Asked by Shawn
Sabine and Hercule can assemble a table in 45 minutes. Working alone, it takes Hercule 48 minutes longer than Sabine to put this table together. How long would it take for Sabine to assemble the table by herself?
What formula would I use to solve this?
What formula would I use to solve this?
Answers
Answered by
Reiny
Don't look for "formulas", reason it out
Sabine's time = t hours
Hercules' time = t+48 minutes
combined time = 45 minutes
so job/t + job/(t+48) = job/45
notice I can divide by "job" and get
1/t + 1/(t+48) = 1/45
multiplying by 45t(t+48) I got
t^2 - 42t - 2160 = 0
solving this I got t = 72
Sabine's time = t hours
Hercules' time = t+48 minutes
combined time = 45 minutes
so job/t + job/(t+48) = job/45
notice I can divide by "job" and get
1/t + 1/(t+48) = 1/45
multiplying by 45t(t+48) I got
t^2 - 42t - 2160 = 0
solving this I got t = 72
Answered by
Shawn
You are really good. Thanks.
I really appreciate the breakdown of the problem.
I really appreciate the breakdown of the problem.
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