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Algebra Level 2

Five workers can complete three jobs in five days working four hours a day.

If 15 workers are working for two hours a day, how many days are required for them to finish 1 job?


The answer is 1.111.

Celmar Galindez by Celmar Galindez , 27, Philippines

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1 solution

Celmar Galindez
Sep 21, 2014

This is should the solution:

man1 * dayhourjob1 = man2 * dayhourjob2

5 * (5)(4)(3) = 15 * (day)(2)(1)

300 = 30day

day = 300/30

day = 10

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I disagree with your equation. It should be that the time spent per job is the same.

It is also not clear how many jobs the 15 workers are supposed to complete. From the context, I would think that it is 3 jobs, instead of just 1.

I have updated the answer to 1.111. Those who previously answered 3 (assumption of 3 jobs, with requirement of integer answer) were marked correct.

Calvin Lin Staff - 6 years, 8 months ago

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Hi, Calvin. Why do you disagree with my equation?

For the 3 jobs I got an answer of 3.333. For 1 job this would be 3.333.. / 3 = 1.1111.. which is the answer you submitted, is it not?

Please clarify. Thanks.

Guiseppi Butel - 6 years, 8 months ago

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I am disagreeing with Celmar's solution above. He stated that

man1 * day * hour * job1 = man2 * day * hour * job2

The equation should be

man1 * day * hour / job1 = man2 * day * hour / job2

This explains why Celmar provided an answer of 10, which is wrong. I agree that the answer of 3.333 is correct (given a suitable interpretation), which is why those who answered 3 have been marked correct.

My comment was not in direct response to your dispute.

Calvin Lin Staff - 6 years, 8 months ago

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@Calvin Lin – Thanks, Calvin. My false assumption.

BTW, I believe that 3 was my answer, however my records were not changed.

Guiseppi Butel - 6 years, 8 months ago

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@Guiseppi Butel – You have been marked correct. You should have received an email with the subject title of "We made a change to a problem you tried", in which we explained that you attempt has been marked correct.

However, we are unable to change what your display on this problem says, because it will only reflect "1.111" as the correct answer now.

Calvin Lin Staff - 6 years, 8 months ago

I appreciate your concern guys and apologize for my miscalculation. Yes, I agree. The answer is 3.3.

Celmar Galindez - 6 years, 8 months ago

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