Question

4.Совершая поход в 100 км, туристы сделали привал. После привала прошли ещё 10 км, и тогда осталось пройти в 3 раза больше, чем было пройдено, На каком расстоянии от начала пути был сделан привал?

Answer 1

На расстоянии 15км

х+10+3(х+10)=100

х+10+3х+30=100

4х+40=100

4х=100-40

4х=60

х=60/4

х=15

Answer 2

на 15 километре

тут возможно нужна система уравнений

х+10=у

у+3у=100

 

4у=100

у=25

 

х+10=25

х=15

Answer 3

Calculation of the Distance from the Starting Point to the Rest Stop

To calculate the distance from the starting point to the rest stop, we can use the information provided in the question. The tourists initially traveled 100 km and then walked an additional 10 km. At that point, the remaining distance to be covered was three times the distance already traveled.

Let's denote the distance from the starting point to the rest stop as 'x' km. According to the given information, the remaining distance after walking 10 km is three times the distance already traveled:

x - 10 = 3 * 10

Simplifying the equation:

x - 10 = 30

Adding 10 to both sides of the equation:

x = 30 + 10

x = 40

Therefore, the rest stop was made at a distance of 40 km from the starting point.

Answer

The rest stop was made at a distance of 40 km from the starting point.