Question

henry is 30 steps before john but john takes 7 steps while henry takes 5 steps supposing the lengths of their steps to be equal how many steps must john take to overtake henry? how did you get your answer?

Answer 1

9514 1404 393

Answer:

  105 steps

Step-by-step explanation:

John makes up the distance by 2 steps for each 7 steps he takes. He will need to take 15×7 = 105 steps to gain 15×2 = 30 steps on John.

Meanwhile, Henry is taking 15×5 = 75 steps.

John must take 105 steps to overtake Henry.

_____

The answer is obtained by comparing the rate of decrease of separation to the total separation that must be decreased.