In 5 minutes a conveyor belt moves 900 pounds of recyclable

In 5 minutes, a conveyor belt moves 900 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 8 minutes. If both belts are used, find how long it takes to move the cans to the storage area.

Solution

5 minutes: 1/5

8 minutes: 1/8

both: 1/x

1/5+1/8=1/x

(8+5)/40=1/x

13/40=1/x

13x=40

x=40/13

x=3.0769

it takes 3 minutes