Both lines will have filled 156 barrels in 26 minutes.
<u>Step-by-step explanation:</u>
<u>We know that:</u>
Old line = 26 + 5(x)
New line = 6(x)
<u>Work:</u>
=> 26 + 5x = 6x
=> 26 = 6x - 5x
=> 26 = x
<u>Now, let's substitute the value of x into the second equation to find out how many barrels did each fill when the new line equaled the old line.</u>
=> 6x
=> 6(26)
=> 156
Hence, <u>both lines will have filled 156 barrels in 26 minutes.</u>
If each 1cm cube is 12 grams, I figure the other cubes would be proportional and a 1.5cm cube comes up to be 3.375cm^3, not 1 cm^3, thus we multiply the rate to 3.375 to get 40.5 as the mass of the 1.5 cm cube