Question

A worker makes a basket in $\frac{2}{3}$ of an hour. If he works for $7(\frac{1}{2})$ hours, then how many baskets will he make?

• A. $10(\frac{3}{4})$
• B. $11(\frac{1}{4})$
• C. $12(\frac{1}{2})$
• D. 13

Answer 1

Answer: (B)

$11(\frac{1}{4})$

Answer 2

The correct option is (B): $11(\frac{1}{4})$
Explanation: To find out how many baskets the worker makes, we first convert the time taken to make one basket into hours and the total working time into a single fraction.
1. Time taken to make one basket = $\frac{2}{3}$ hours.
2. Total working time = $7 \frac{1}{2} = 7.5 = \frac{15}{2}$ hours.
Next, we calculate how many baskets he can make in that time:
$\text{Number of baskets} = \frac{\text{Total time worked}}{\text{Time per basket}} = \frac{\frac{15}{2}}{\frac{2}{3}} = \frac{15}{2} \times \frac{3}{2} =\frac{45}{4} = 11 \frac{1}{4}$
So, the worker will make $11 \frac{1}{4}$ baskets. Thus, the answer is $B: 11 \frac{1}{4}$.