Question

Туристы были в пути 3 дня. В первый они прошли 36% всего расстояния, во второй 52% оставшегося, а в третий - 54 км. Найдите длину всего пути.

Answer 1

1) 0,36 + 0,52( 1 - 0,36 ) = 0,36 + 0,3328 = 0,6928 ( пути ) за два дня
2) 1 - 0,6928 = 0,3072 ( пути ) за третий день
3) 54 : 0,3072 = 175,78125 ( км ) длина всего пути

Answer 2

Calculation of the Total Distance

To find the total distance traveled by the tourists, we need to calculate the sum of the distances covered in each of the three days.

Let's denote the total distance as D.

According to the given information: - On the first day, the tourists covered 36% of the total distance. - On the second day, they covered 52% of the remaining distance. - On the third day, they covered 54 km.

To calculate the total distance, we can set up the following equation:

0.36D + 0.52(0.64D) + 54 = D

Let's solve this equation to find the value of D.

0.36D + 0.3328D + 54 = D

0.6928D + 54 = D

54 = D - 0.6928D

54 = 0.3072D

D = 54 / 0.3072

D ≈ 175.78 km

Therefore, the total distance traveled by the tourists is approximately 175.78 km.