Question

A coin sorting machine can sort a certain number of coins in 15 min a second machine can sort the same number of coins in 30 min how long would it take both machines working together to do the job?

plz give all the steps that will be marked as the Branilest!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

10 minutes

Explanation:

Let's use the variable x for the amount of coins.

The first machine can sort x coins in 15 minutes, so its speed is x/15 coins/minute.

The second machine can sort x coins in 30 minutes, so its speed is x/30 coins/minute.

If we sum the speeds, we have that the speed will be:

speed = (x/15) + (x/30) = (2x + x)/30 = 3x/30 = x/10

The total speed can sort x/10 coins per minute, that is x coins in 10 minutes.