In 3 minutes a conveyor belt moves 500pounds of recyclable aluminum from the del
ID: 3099977 • Letter: I
Question
In 3 minutes a conveyor belt moves 500pounds of recyclable aluminum from the delivery truck to a storagearea. A smaller belt moves the same quality of cans the samedistance in 7 minutes, If both belts are used, find how longit takes to move the cans to the storage areas.Explanation / Answer
Let the distance between the delivery truck and storage area be "x" meters. Let "t" be the time taken to move the cans if both the belts are used. It is given that larger belt moves the cans in 3 min. Hence in 3 min it moves the cans by x meters. Hence in t min, it ll move the cans by (t*x / 3 ) meters. - - - -> (1) Similarly it is given that smaller belt moves the cans by distance x in 7 min. Hence in t min, it ll move the cans by (t*x / 7 ) meters. - - - - > (2) From (1) and (2), (t*x / 3 ) + (t*x / 7 ) = x Simplifying the above, we get (t/3) + (t/7) = 1 Implies t(1/3 + 1/7) = 1 implies t(10/21) = 1 Implies t = 21/10 = 2.1 min hence the time taken to move the cans if both the belts are used is 2.1 min.