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NEED Math help

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楼主
发表于 2008-10-17 01:33:00 | 只看该作者

NEED Math help

Don't know how to do this one!!

Two machines are sawing wood but due to space limitations only one at a time can operate. Machine A is used for the first shift and the other machine for the second shift, while both work half of the third shift. Machine A can do the job in 12 days if it worked two shifts and Machine B can do the job in 15 days if it worked two shifts. How many days will it take to do the job with current work schedule?

A.14

B.13

C.11

D.9

E.7

沙发
发表于 2008-10-17 02:40:00 | 只看该作者

答案是啥呀 13么  这题看起来好绕

板凳
发表于 2008-10-17 10:36:00 | 只看该作者

I would say it's 13.

A's productivity is 1/12 per day, 1/24 per half day

B's productivity is 1/15 per day, 1/30 per hafl day

Due to the shifts, A and B each worked half day according to current scedule. Therefore, the total days needed to achieve the same amount of job is 1/ (1/24 + 1/30) = 13.333333333333, approximately 13 days.

Please correct me if you have different opinion 

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