Question

A mill uses 4 times as much power as a lathe. If the total power used by a mill and 3 lathes is 1540 kilowatts, find the power used by a single lathe.

Answer 1

Step-by-step explanation

Answer 2

220 kW

Explanation:

You want the power used by a single lathe when a mill uses 4 times as much, and a mill plus 3 lathes uses 1540 kW.

Setup

Let p represent the power used by a single lathe. Then a mill uses 4p, and the given total is ...

(4p) +3p = 1540

Solution

7p = 1540 . . . . . . collect terms

p = 220 . . . . . . . divide by 7

A single lathe uses 220 kW.