Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

Question

Vanyuwa [196]

2 years ago

10

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

0 more days to finish the job than the other worker?

Mathematics

2 answers:

nata0808 [166] · Answer 1 · 2022-05-13T05:13:38+03:00

Answer:

7 days and 17 days

Step-by-step explanation:

We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.

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FromTheMoon [43] · Answer 2 · 2022-05-13T04:13:23+03:00

FromTheMoon [43]2 years ago

4 0

Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.