Question

До Москвы оставалось 24 версты.Капитан выслал четверых всадников,чтобы предупредить хозяина постоялого двора о приезде гостей.На дорогу туда и обратно он дал всадникам 4 часа,но из-за плохой погоды они проезжали каждый час на четыре версты меньше,чем рассчитал капитан.На сколько больше времени они потратили на дорогу??

Answer 1

24/4=6 верст в час должны были проезжать всадники по задумке капитана

6-4=2 верст в час проезжали всадники

24/2=12 часов потратили всадники на дорогу

12-4=8

на 8 часов больше всадники потратили на дорогу

Answer 2

Calculation of Time Spent on the Journey

To calculate the additional time spent on the journey, we need to determine the original time it would have taken the riders to travel to the post station and back. We are given that the distance to Moscow is 24 versts and that the riders traveled 4 versts less each hour due to bad weather.

Let's calculate the original time it would have taken the riders to travel to the post station and back:

1. The distance to the post station is half the distance to Moscow, which is 24 versts / 2 = 12 versts. 2. The riders traveled 4 versts less each hour, so the original time it would have taken them to travel to the post station and back is 12 versts / 4 versts per hour = 3 hours.

Additional Time Spent

Now, let's calculate the additional time spent on the journey:

1. The riders were given 4 hours for the journey, but it would have taken them only 3 hours under normal conditions. 2. Therefore, they spent an additional 4 hours - 3 hours = 1 hour on the journey.

So, the riders spent 1 hour more than expected on the journey.