Question 604998
In 2 minutes, a conveyor belt moves 300 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 6 minutes.
 If both belts are used, find how long it takes to move the cans to the storage area.
:
We can do it this way
let t = time required when both belts are used to move 300 lb
:
Let the completed job = 1 (moving 300 lb)
:
{{{t/2}}} + {{{t/6}}} = 1
Multiply by 6
6*{{{t/2}}} + 6*{{{t/6}}} = 6
Cancel out the denominators
3t + t = 6
4t = 6
t = 6/4
t = 1.5 min