MathDB

Nina and Meir are walking on a

3

km path towards grandma's house. They start walking at the same time from the same point. Meir's speed is

4

km/h and Nina's speed is

3

km/h.
Along the path there are several benches. Whenever Nina or Meir reaches a bench, they sit on it for some time and eat a cookie. Nina always takes

t

minutes to eat a cookie, and Meir always takes

2t

minutes to eat a cookie, where

t

is a positive integer.
It turns out that Nina and Meir reached grandma's house at the same time. How many benches were there? Find all of the options.

Problem Statement