Question

a machine produces 264 bolts in 42 minutes. at the same rate, how many minutes would it take to produce 308 bolts?
□ minutes

Explanation:

Step1: Find production rate

Rate = $\frac{264}{42}$ bolts per minute

Step2: Calculate time for 308 bolts

Time = $\frac{308}{\text{Rate}} = 308 \times \frac{42}{264}$

Step3: Simplify the expression

First, simplify $\frac{308}{264} = \frac{7}{6}$, then $\frac{7}{6} \times 42 = 7 \times 7 = 49$

Answer:

49 minutes