Tom, Dick and Harry piled stones into a pyramid to my precise specifications. Fred, an efficiency expert carefully watched them.
When the pyramid was complete, Fred reported that if Tom had worked twice as fast the job would have taken exactly 2 hours less, if Dick had worked three times as fast the job would have taken exactly 3 hours less, and if Harry had worked four times as fast the job would have taken exactly 4 hours less.
How long had the job taken?
(In reply to
Beginning of analytic solution; incomplete by Larry)
Why would you expect a<b<c? Each person has to work different multiples to save different numbers of hours.
I used Desmos to simplify things in different ways but got no closer than you to an analytic solution. I did squeeze out more decimals but Wolfram can do the same. This a certainly a real solution.
a=0.04370602872
b=0.0395547415
c=0.044320376832
https://www.desmos.com/calculator/fbqzxhx462
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Posted by Jer
on 2023-12-25 14:28:52 |
re: Beginning of analytic solution; incomplete
