A piece of work was done by A, B, C; at first A worked alone but after some days was joined by B, and these two after some days were joined by C. The whole work might have been done by B and C if they had each worked twice the number of of days that they actually did. The whole work could also have been completed without B's help if A had worked two thirds and C four times the number of days they actually did; or if A and B had worked together for 40 days without C; or if all together if had worked together for the time that B had worked. The number of days that elapsed before B began to work was to the number that elapsed before B began to work as 3 to 5; find the number of days that A worked.
A:30
B:35
C:45
D:57
E:65
work and rate
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Where did you get this problem?maihuna wrote:A piece of work was done by A, B, C; at first A worked alone but after some days was joined by B, and these two after some days were joined by C. The whole work might have been done by B and C if they had each worked twice the number of of days that they actually did. The whole work could also have been completed without B's help if A had worked two thirds and C four times the number of days they actually did; or if A and B had worked together for 40 days without C; or if all together if had worked together for the time that B had worked. The number of days that elapsed before B began to work was to the number that elapsed before B began to work as 3 to 5; find the number of days that each men worked.
A:67 B:76 C: 6
A:86 B:52 C: 8
A:45 B:24 C: 10
A:56 B:42 C: 18
A:45 B:34 C: 24
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maihuna wrote:I asked where because as you can see - most of us think that we will never see this question or anything like it on the GMAT.doclkk wrote:Why? Does it matter? Do you think it is an absurd question?maihuna wrote: Where did you get this problem?