If 5 boys take 7 h to pack 35 toys, how many boys can pack 65 toys in 1 h?

Options

A. 26
B. 39
C. 45
D. 65

Answer

To solve the problem step by step, we will use the concept of work and time.

### Step 1: Understand the given information
We know that:
- 5 boys take 7 hours to pack 35 toys.

### Step 2: Calculate the work done by one boy in one hour
First, we need to determine how many toys one boy can pack in one hour.

The total work done (in terms of toys) can be calculated as follows:
- Work done by 5 boys in 7 hours = 35 toys.

To find the work done by one boy in one hour, we can use the formula:
\[ \text{Work done by 1 boy in 1 hour} = \frac{\text{Total toys}}{\text{Number of boys} \times \text{Hours}} \]

Substituting the values:
\[ \text{Work done by 1 boy in 1 hour} = \frac{35}{5 \times 7} = \frac{35}{35} = 1 \text{ toy} \]

### Step 3: Determine how many toys can be packed by one boy in one hour
From the calculation above, we found that one boy can pack 1 toy in one hour.

### Step 4: Calculate how many boys are needed to pack 65 toys in 1 hour
Now, we need to find out how many boys are required to pack 65 toys in 1 hour. Since we know that one boy can pack 1 toy in one hour, we can use the following formula:
\[ \text{Number of boys} = \frac{\text{Total toys}}{\text{Toys packed by one boy in 1 hour}} \]

Substituting the values:
\[ \text{Number of boys} = \frac{65}{1} = 65 \]

### Conclusion
Therefore, **65 boys** are needed to pack 65 toys in 1 hour.

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