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Working alone, it takes Randy 11 hours to inventory the instrument sho

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Working alone, it takes Randy 11 hours to inventory the instrument sho [#permalink] New post   28 Feb 2024, 01:52
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Working alone, it takes Randy 11 hours to inventory the instrument shop. Liz can complete the same inventory in 10 hours. If they worked together, how long would it take them to complete the inventory of the instrument shop?

A. 5.24 hours

B. 5.59 hours

C. 5.77 hours

D. 5.6 hours

E. 5 hours


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Re: Working alone, it takes Randy 11 hours to inventory the instrument sho [#permalink] New post   28 Feb 2024, 10:30
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rate * time = work

Randy's rate is 1 instrument/11 hours and Liz's rate is 1 instrument/10 hours.

If they are working together, their combined rate is (1/11 + 1/10) instruments per hour.

time = work / rate = 1 / (1/11 + 1/10) = 1 / (21/110) = 110/21 = 5.24 hours
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Re: Working alone, it takes Randy 11 hours to inventory the instrument sho [#permalink]
28 Feb 2024, 10:30
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