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INDIRECT VARIATIO QUESTION
A man can finish a piece of work, working 8 hours a day in 5 days. If he works now 10 hours daily ,in how many days can he finish the same work?

Oct 25, 2023

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Oct 25, 2023

To solve this indirect variation question, we can use the formula:

(Direct Variation) = (Constant) / (Indirect Variation)

Let's assign variables to the given information:

Let "x" be the number of days required to finish the work when working 10 hours daily.

According to the problem, the direct variation is the number of hours worked per day, and the indirect variation is the number of days required to finish the work.

We know that the man can finish the work in 5 days when working 8 hours daily. So, the constant is 8 * 5 = 40.

Now, we can set up the equation:

8 / 5 = 40 / x

To solve for "x," we can cross-multiply:

8x = 5 * 40

8x = 200

Dividing both sides by 8:

x = 200 / 8

x = 25

Therefore, if the man works 10 hours daily, he can finish the same work in 25 days.

(Direct Variation) = (Constant) / (Indirect Variation)

Let's assign variables to the given information:

Let "x" be the number of days required to finish the work when working 10 hours daily.

According to the problem, the direct variation is the number of hours worked per day, and the indirect variation is the number of days required to finish the work.

We know that the man can finish the work in 5 days when working 8 hours daily. So, the constant is 8 * 5 = 40.

Now, we can set up the equation:

8 / 5 = 40 / x

To solve for "x," we can cross-multiply:

8x = 5 * 40

8x = 200

Dividing both sides by 8:

x = 200 / 8

x = 25

Therefore, if the man works 10 hours daily, he can finish the same work in 25 days.