Answer:
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,
= [tex]\frac{300}{5} = 60 cans per minute[/tex]
and of smaller belt is,
= [tex]\frac{300}{9} = \frac{100}{3} cans per minute[/tex]
Thus, when both are used together,
conveyor belt will transport (60)(t) cans and smaller belt will transport [tex]( \frac{100}{3})[/tex](t) cans per minute.
Thus the equation becomes,
[tex]300 = (60)(t) + (\frac{100}{3})(t) = (\frac{280}{3})(t)[/tex]
t = [tex]\frac{(300)(3)}{280} = \frac{45}{14} = 3.214 minutes[/tex]
