Question

T one end of a production line, Isaac puts peaches into cans on a conveyor belt. He fills 22 cans per minute. As soon as Isaac has filled 655 cans on the conveyor belt, Albert starts putting lids on the cans at the other end of the production line. As Albert finishes closing each can, he moves up along side the conveyor belt to meet the next can. Albert puts lids on 46 cans per minute. (Assume that the conveyor belt initially had no cans on it, and that Isaac stays in place as he continues to fill cans.)

How long does it take for Albert to reach Isaac (measured from when Albert starts putting on lids)?

Answer 1

Albert reaches Isaac in 27.29 minutes (measured from when Albert starts putting on lids).

Step-by-step explanation:

From the time Albert starts putting lids on the cans,

The number of cans filled by Isaac, represented by I, can be given as

I = 655 + 22t

And the number of cans Albert puts a lid on, represented by A, is given by

A = 46t

So, the problem is to find which time (t), in minutes, these two numbers are equal,

A = I

46t = 655 + 22t

46t - 22t = 655

24t = 655

t = 27.29 minutes