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It takes 24 hours for machine A to finish a work. After A

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pb_india
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It takes 24 hours for machine A to finish a work. After A [#permalink] New post   10 May 2005, 20:40
It takes 24 hours for machine A to finish a work. After A worked for 8 hours, the other part is to be finished by B, whose rate is 2/3 that of A. How much time will B take to finish the job?



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Re: It takes 24 hours for machine A to finish a work. After A [#permalink] New post   10 May 2005, 21:34
I may have read the question wrongly, so please let me know.

24/36 = 16/x

24x = 576

x = 24
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Re: It takes 24 hours for machine A to finish a work. After A [#permalink] New post   11 May 2005, 02:28
24

24-8 = 16

16 = 2/3 B

B = 48/2 = 24
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christoph
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Re: It takes 24 hours for machine A to finish a work. After A [#permalink] New post   11 May 2005, 03:10
24...

A takes 24 h and B takes 36 h

8/24+x/36=1

x=24
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Jacques
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Re: It takes 24 hours for machine A to finish a work. After A [#permalink] New post   11 May 2005, 17:41
Rate : A - 1/24 ; B - (2/3)*(1/24)

After 8 hours 8/24 of the work is finished and 16/24 of the work is left which has to be completed by B

time = work/rate = (16/24)/ (2/24*3) = 24

:P Good Problem give us more.
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Re: It takes 24 hours for machine A to finish a work. After A [#permalink] New post   11 May 2005, 19:42
Another way to look at this - use ratios:

rate of work for B = 2/3 A

Work left is also 2/3 A (i.e. 16/24 ).

So, using ratios, 2/3 (work left is directly proportional) and 3/2 (rate of work is inversely proportional) cancel out, leaving 24.

If it is confusing, see below...

Work Unit (to be finished) ---- Rate of Work------ Time to finish

A 1---------------------------------1----------------------24
B 2/3--------------------------------2/3-------------------X

Here X = 24 * 2/3 * 1/(2/3) = 24.

-Srinivas.


pb_india wrote:
It takes 24 hours for machine A to finish a work. After A worked for 8 hours, the other part is to be finished by B, whose rate is 2/3 that of A. How much time will B take to finish the job?




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Hi there,
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Thank you for understanding, and happy exploring!
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Re: It takes 24 hours for machine A to finish a work. After A [#permalink]
11 May 2005, 19:42
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