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Working independently X takes 12 hours to finish a certain work. he fi

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Bunuel
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Working independently X takes 12 hours to finish a certain work. he fi [#permalink] New post   09 Jan 2021, 10:19
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Working independently X takes 12 hours to finish a certain work. X starts working and finished only 2/3 of the work. The rest of the work was done by Y, whose rate is 1/10 th of that of X. How much time did Y take to finish the remaining part of the work?

A. 30 hours
B. 35 hours
C. 40 hours
D. 50 hours
E. 60 hours


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Working independently X takes 12 hours to finish a certain work. he finishes 2/3 of the work . The rest of the work is finished by Y whose rate is 1/10 th of X. In how much time does Y finsh his work?
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C
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twobagels
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Re: Working independently X takes 12 hours to finish a certain work. he fi [#permalink] New post   09 Jan 2021, 16:18
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X's rate is 1/12, and X finished 2/3 of the work.

Y's rate is 1/10th of X's rate, so x*(1/120) = 1/3

x=40.

C
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MathRevolution
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Re: Working independently X takes 12 hours to finish a certain work. he fi [#permalink] New post   10 Jan 2021, 01:18
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X rate of 1- day work: \(\frac{1}{12}\) and he finishes \(\frac{2}{3}\) of the work.

Reamining work: \(1 - \frac{2}{3} = \frac{2}{3}\)

Y rate: \(\frac{1}{10} * \frac{1}{12} = \frac{1}{120}\)

=> \(\frac{1}{3}\) work = \(\frac{1}{120}\) rate

=> Rate * Time= Work

=> \(\frac{120 }{ 3}\) = 40 hours.

Answer C
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Re: Working independently X takes 12 hours to finish a certain work. he fi [#permalink] New post   13 Apr 2022, 12:50
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to makes sense logically, x completed 2/3 * 12 = 8 hours. remaining 4 hours.
Y will complete in: 4 x 10 (as y takes 10 times longer) = 40 hours
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Re: Working independently X takes 12 hours to finish a certain work. he fi [#permalink] New post   25 May 2023, 03:33
Let Total work: 120 units
Speed of X: 10 units(since his rate is 12 hours to complete the work)
Speed of Y : 1 units per hour(1/10 of X)

Work Finished by X= 120*2/3=80
Work Left= 120-80=40

Time taken by Y
40/1= 40 hours
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gmatclubot
Re: Working independently X takes 12 hours to finish a certain work. he fi [#permalink]
25 May 2023, 03:33
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