Working 9 hours a day, Manish can read a book in 16 days. How many hours a day should he work so as to finish the same work in 24 days?

Options

A. A) 5
B. B) 7
C. C) 8
D. D) 6

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the total work done by Manish
Manish works 9 hours a day for 16 days. Therefore, the total work can be calculated as:

\[ \text{Total Work} = \text{Hours per day} \times \text{Number of days} = 9 \text{ hours/day} \times 16 \text{ days} = 144 \text{ hours} \]

### Step 2: Set up the equation for the new scenario
Now, we want to find out how many hours per day (let's denote this as \( K \)) he should work to complete the same amount of work (144 hours) in 24 days.

\[ \text{Total Work} = K \text{ hours/day} \times 24 \text{ days} \]

### Step 3: Equate the total work
Since the total work remains constant, we can set up the equation:

\[ K \times 24 = 144 \]

### Step 4: Solve for \( K \)
To find \( K \), we divide both sides of the equation by 24:

\[ K = \frac{144}{24} \]

Calculating this gives:

\[ K = 6 \]

### Conclusion
Manish should work **6 hours a day** to finish reading the book in 24 days.