a machine produces 312 bolts in 30 minutes. a...
a machine produces 312 bolts in 30 minutes. at the same rate, how many minutes would it take to produce 260 bolts?
Answer
# Explanation:
## Step1: Calculate the production rate per minute
The rate $r$ is the number of bolts produced divided by the time. So $r=\frac{312}{30}= 10.4$ bolts per minute.
## Step2: Calculate the time to produce 260 bolts
Let $t$ be the time. We know that $r=\frac{n}{t}$, so $t=\frac{n}{r}$. Substituting $n = 260$ and $r=10.4$, we get $t=\frac{260}{10.4}=25$ minutes.
# Answer:
25