A few days ago
Javid M

Need help solving this math problem.?

The original question was this :

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.

Top 4 Answers
A few days ago
?

Favorite Answer

This is the type of problem that you have to memorize the formula. When a number of people work at different rates the formula is as follows.

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.

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A few days ago
M
firstly, jim works 5 hours, jack works 10. (jim works TWICE AS FAST)

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.

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A few days ago
Nick
yes jack would finish faster
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A few days ago
centheya s
check this link its good

http://workathomedataentryworkss.blogspot.com

.

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