Question

В деревне у мамы два трудолюбивых ребенка Маша и Петя. Маша может прополоть картофельную борозду за 9 минут, а Петя может прополоть такую же борозду за 51 минут. Через какое время они встретятся, если станут пропалывать картофельную борозду каждый со своей стороны, начав работу одновременно? Который из детей выполнит больший объем работ?

Answer 1

(51-9)/(51+9)=42/60=0.7 мин

Answer 2

Problem Setup

In this problem, we have two hardworking children, Masha and Petya, who are weeding a potato field. Masha can weed a potato row in 9 minutes, while Petya can do the same job in 51 minutes.

Time to Meet

To find out when they will meet, we can use the concept of the least common multiple (LCM) of their individual times. The LCM of 9 and 51 is 153. Therefore, they will meet after 153 minutes if they start weeding the potato field at the same time.

Amount of Work Done

To determine who will complete a greater amount of work, we can compare the rates at which they work. Masha's rate is faster, as she can weed a row in 9 minutes, while Petya takes 51 minutes. Therefore, Masha will complete a greater amount of work.

So, Masha and Petya will meet after 153 minutes, and Masha will complete a greater amount of work.