It takes one machine 25 minutes to pick a bale of cotton and another machine 30 minutes to compete the same job. If both machines are used, how long will it take them to pick a bale of cotton?
The rate of machine #1: X/25
The rate of machine #2: X/30
Equation: X/25 + X/30 = 1
* 6X/150 + 5X/150 = 1
* 11X/150 = 1
* 11x = 150
* x = 150/11
* x = 13.63...
* x = 13.64
It takes both machines 13.64 minutes to pick a bale of cotton.
13.64!!!
13.(63) meaning that (63) is repeating forever
13.64 is right
1/25
1/30
1/25 + 1/30 = 11/150
150/11= 13.(63)= 13.64
hope this helps