Question

Gus works four times as fast as Sid. Together they can dig a garden in 8 hr. How long would it take each person working alone?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's denote the time it would take Sid to dig the garden alone as S hours and the time it would take Gus to dig the garden alone as G hours.

From the given information, we can set up the following equation:
1/S + 1/G = 1/8

Given that Gus works four times as fast as Sid:
G = 4S

Substitute G = 4S into the equation:
1/S + 1/(4S) = 1/8
(4 + 1)/4S = 1/8
5/4S = 1/8
S = 5/32

Therefore, it would take Sid 5/32 hours to dig the garden alone, and since Gus works four times as fast as Sid:
G = 4 * 5/32
G = 20/32
G = 5/8

So, it would take Gus 5/8 hours to dig the garden alone.