a machine produces 312 bolts in 30 minutes. at the same rate, how many minutes would it take to produce 260…

a machine produces 312 bolts in 30 minutes. at the same rate, how many minutes would it take to produce 260 bolts?

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