a dump truck weighs 11.25 tons. a conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute. the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sand is in each dump truck when the trucks are the same weight?
Accepted Solution
A:
We know these variables:
W1B = Weight of the truck 1 before starting the filling. W1A = Weight of the truck 1 when filled. R1F = Rate of change (Truck 1 being filled)
W2B = Weight of the truck 2 before starting the filling. W2A = Weight of the truck 2 when filled. R2F = Rate of change (Truck 2 being filled)
Given that a conveyor belt pours sand into the truck and stops when filled, then the amount of sand, when the truck is filled to capacity, is: