Question

A piece of iron rod costs $60. If the rod was 2 meters shorter and each meter costs $1 more, the cost would remain unchanged. What is the length of the rod?

Answer 1

SOLUTION:--

Let x be the length of the given rod.

Then the length of the rod 2 meter shorter is (x - 2) and the total cost of both the rods is $60 (Because cost would remain unchanged).

Cost of one meter of the given rod  is = 60/x

Cost of one meter of the rod which is 2 meter shorter is = 60/(x-2)