It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If they are together it will take 12 hours. How long will Juancho take if he will work alone?
+495 Together they work at 2/3 + 1 = 5/3 cars/hour, so they will completley wash 5/3 * 12 hours = 20 cars.
Since Jauncho can wash 2/3 cars per hour, it will take him 20 / (2/3) hours to complete the task.
2/3 cars/hour + 1 car/hour = 5/3 cars per hour
12 hours * 5/3 cars/hour = 20 cars
20 cars * 1 hour/car = 20 hours.
It will take Jauncho 20 hours to complete the task by himself.
*My original post had an error, but this one fixed it*
It takes Jonathan 2/3 as long as it takes Juancho to paint a car. If they are together it will take 12 hours. How long will Juancho take if he will work alone?
Let the time it takes Juancho to paint a car =x, then:
The time it takes for Jonathan to paint a car =2/3x, but we have:
1/x + 1 / (2/3x) = 1 / 12, solve for x
x=30 hours for Juancho to paint a car, and:
30 x 2/3 =20 hours for Jonathan to paint a car.
