Question

Группа туристов 1час ехала на автобусе , а затем 6часов шла пешком со скоростью , на 18 км/ч меньше ,чем скорость автобуса . Всего группа преодолела 67 км. Найдите скорость автобуса и туристов в пешем походе.

Answer 1

Problem Analysis

We are given that a group of tourists traveled for 1 hour on a bus and then walked for 6 hours at a speed 18 km/h slower than the bus. The total distance covered by the group is 67 km. We need to find the speed of the bus and the speed of the tourists while walking.

Solution

Let's assume the speed of the bus is x km/h. Since the group traveled for 1 hour on the bus, the distance covered by the bus is x km.

The group then walked for 6 hours at a speed 18 km/h slower than the bus. So, the speed of the group while walking is (x - 18) km/h. The distance covered by the group while walking is 6 * (x - 18) km.

The total distance covered by the group is given as 67 km. Therefore, we can write the equation:

Distance covered by the bus + Distance covered by the group while walking = Total distance covered by the group

x + 6 * (x - 18) = 67

Simplifying the equation:

x + 6x - 108 = 67

7x - 108 = 67

7x = 67 + 108

7x = 175

x = 175 / 7

x = 25

The speed of the bus is 25 km/h.

The speed of the group while walking is (25 - 18) km/h = 7 km/h.

Therefore, the speed of the bus is 25 km/h and the speed of the tourists while walking is 7 km/h.

Answer

The speed of the bus is 25 km/h and the speed of the tourists while walking is 7 km/h.