Question

in 10 days ethan can do as much work as jacob of can do in 15 days to do a work together they take 24 days in how many days can walking around complete the work
1)30
2)60
3)40
4)50​

Answer 1

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Step-by-step explanation:

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Answer 2

Jacob can alone complete the work in 60 days.

Given,

In 10 days, Ethan can do as much work as Jacob can do in 15 days

Together they complete the work in 24 days.

To Find,

Work completed by Jacob alone.

Solution,

In 10 days, Ethan can do as much work as Jacob can do in 15 days

Together they complete the work in 24 days.

Jacob's 15 days of work = Ethan's 10 days of work

The ratio of Jacob and Ethan's days of work:

⇒ $\frac{jacob}{ethan} =\frac{10}{15}$

Total work = 10+15=25

Ethan's work = 10

Jacob's work = $\frac{10}{25}$ or $\frac{2}{5}$

Together they work for 24 days.

Jacob alone completes the work = $\frac{\frac{2}{5} }{24}$

= 5/2 ×24

= 12×5

= 60 days.

Jacob can alone complete the work in 60 days.

#SPJ2