Need help solving this math problem.?
Jim can finish a job twice as fast as Jack. When they work together, they can finish the job in 15 hours. Find the time it would take each person to finish the job individually.
My answer was:
2x + x = 15
3x = 15
x = 5
Jim works: 2(x) = 2 (5) = 10 hours
Jack works: x = 5 hours
Now the second part of the question is:
Is it possible for either one of them to finish the job faster that if they work together?
I need help answering this second part of the question any help would be greatly appreciated. Thanks.
Favorite Answer
1/x + 1/y + 1/z + … = 1/t
Where t the time it takes for everyone and x, y, z, etc. is the time for one person.
Now lets plug in the formula.
1/x + 1/y = 1/15
Now y takes twice as long as x so y = 2x Therefore,
1/x +1/2x = 1/15. Multiply by x gives
1 + 1/2 = x/15
x = 22.5
y = 2x = 45.
————
That is the general formula; This problem is simpler. Since Jim is twice as fast as Jack therefore Jim = 2 Jacks.
3 Jacks take 15 hours. Therefore it is obvious that one Jack would take 3 times as long or 45 hours.
Jim working twice as fast takes only half that time or 22.5 hours.
secondly, you are going about this the wrong way. they BOTH WORK for 15 hours.
15 hours= 30 “man hours”
I’ll leave you to figure out the rest of that
and the second part is NO. any extra help would make it go faster.
http://workathomedataentryworkss.blogspot.com
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