In 5 minutes a conveyor belt moves 300 pounds of receyclable aluminum from the delievery truck a smaller belt moves the same quantitly of cans the same distance in 9 minutes if both belts are used find how long it takes to move the cans

It will take 3.214 minutes.

Step-by-step explanation:

It is given that, the conveyor belt transports 300 cans in 5 mins and the smaller belt transports 300 cans in 9 minutes.

Thus , the speed of conveyor belt is,

=

and of smaller belt is,

=  

Thus, when both are used together,

conveyor belt will transport (60)(t) cans and smaller belt will transport (t) cans per minute.

Thus the equation becomes,

t =

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.