I understand how to solve it by Backsolving. Is there a right straightforward way that doesnâ€™t need to backsolve?
Machine A and Machine B are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produce?
here is one way to solve this problem
Work rate of machine a is y spockets per hour( produces y spockets per hour)
work rate of Machine B is 1.1y spockets/ hr
then no. of hours req. to produce 660 spockets by machine
then time taken by machine B = 660/1.1y
then time taken by machine A to produce 660 spockets= 660/1.1y + 10
660/y=660/1.1y + 10
=> y= 6
so machine A produces 6 spockets per hour