Tired slaves

A well fed laborer can sustain a mechanical power output of roughly 75 Watts. How many person-hours are required to generate the total amount of work needed to raise the pyramid blocks off the ground into the shape of the great pyramid?

Image credit: Wikipedia Mike Knell


The answer is 9360370.37.

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1 solution

Gaurav Sharma
Jun 15, 2014

Since Watts is J / s J/s . A person does roughly 75 × 60 × 60 75 \times 60\times 60 joules of work per hour.

Total work done was W = W= 2.5272975 × 1 0 12 2.5272975\times 10^{12} from previous example.

So the total number of person hours will be given by T o t a l W o r k D o n e / Total Work Done / P e r s o n s W o r k P e r H o u r Person's Work Per Hour

which is 2.5272975 × 1 0 12 / 2.5272975\times 10^{12}/ ( 75 × 60 × 60 ) (75 \times 60\times 60) , that is 9360361.11111 9360361.11111

or more precisely 9360361 \boxed {9360361} person hours.

Very good......!

Siva Prasad - 6 years, 9 months ago

What do you mean "from previous example"? I haven't seen that. I got this problem as the first in a series of five. My rough estimate from basic assumptions was 9000000, and this was considered incorrect. However, it is close enough to be considered correct.

Tom Verhoeff - 4 years, 2 months ago

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Thanks, I've removed this problem from the challenge quiz. It was meant to be part of a set.

Calvin Lin Staff - 4 years, 2 months ago

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