Problema Solution

once upon a time, there lived a worm with two mouths. both mouths ate at the same rate. thirty minutes after the worm began eating a leaf with one mouth, its other mouth joined in the feast. thirty minutes later the leaf was completely consumed. if both mouths had been eating at the start, and one mouth had stopped when half a leaf was eaten, it would have taken the other mouth x minutes to finish the second half. find x.

Answer provided by our tutors

90 minutes to consume the leaf eating only with one mouth


45 minutes to meet at the middle if both mouths start at the same time


since both mouths eat at the same rate and one mouth stops at the halfway point, then the other mouth finishes in zero seconds, so x=0