first post here... currently an applied math student attending Stonybrook university. The question seems so simple. But I am unable to find an answer.

jack can do 3 chemistry problems and 6 math problems an hour.

Jill can do 4 chemistry problems and 7 math problems an hour.

How long must they both work to finish 11 chemistry problems and 17 math problems?

If you solve this system, you get jack's time as (-3 hours) and Jill's is 5 hours. Obviously, this is impossible. But the only other way I found to accurately estimate this is just guessing and checking.... getting closest with jack doing 1.4 hours of study and Jill doing 1.7 ... producing 11 completed chemistry problems but 20.3 math questions.

Very confused how to approach this question efficiently without guessing. Please help!!!!

jack can do 3 chemistry problems and 6 math problems an hour.

Jill can do 4 chemistry problems and 7 math problems an hour.

How long must they both work to finish 11 chemistry problems and 17 math problems?

If you solve this system, you get jack's time as (-3 hours) and Jill's is 5 hours. Obviously, this is impossible. But the only other way I found to accurately estimate this is just guessing and checking.... getting closest with jack doing 1.4 hours of study and Jill doing 1.7 ... producing 11 completed chemistry problems but 20.3 math questions.

Very confused how to approach this question efficiently without guessing. Please help!!!!

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