MathCastle
Grade 6SuperchallengeRatios and Rates

Ratios and Rates · Superchallenge problem

Ali and Ben walk along the same straight path. In the time Ali takes 55 steps, Ben takes 44 steps. But Ben's steps are longer: 22 of Ben's steps cover the same distance as 33 of Ali's steps. Ali starts 3030 of his own steps ahead of Ben, and they set off at the same moment in the same direction. How many steps does Ben take to catch up with Ali?