Question

Плиииз. Помогите решить задачу. Очень надоо. Чтобы добраться до назначенного места, туристы 112 км пути проехали на автобусе. Когда половину остального пути они проехали на велосипеде, до назначенного места оставалось 32 км. Какое расстояние условились преодолеть туристы?

Answer 1

32·2=64 км расстояние которое туристам осталось преодолеть после того как они проехали на автобусе
64+112=176  км преодолели туристы

Answer 2

Problem Analysis

The problem states that the tourists traveled 112 km by bus and then half of the remaining distance by bicycle, leaving them with 32 km to reach their destination. We need to find the total distance that the tourists agreed to cover.

Solution

Let's break down the problem step by step:

1. The tourists traveled 112 km by bus. 2. They then traveled half of the remaining distance by bicycle. 3. The remaining distance after the bicycle ride was 32 km.

To find the total distance, we need to calculate the distance they traveled by bicycle and add it to the distance traveled by bus.

Let's denote the total distance as 'x'.

1. Distance traveled by bus: 112 km. 2. Remaining distance after the bus ride: x - 112 km. 3. Distance traveled by bicycle: (x - 112 km) / 2. 4. Remaining distance after the bicycle ride: (x - 112 km) / 2 - 32 km.

According to the problem, the remaining distance after the bicycle ride is 32 km. So we can set up the equation:

(x - 112 km) / 2 - 32 km = 0

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

Calculation

(x - 112 km) / 2 - 32 km = 0

Multiply both sides of the equation by 2 to eliminate the fraction:

x - 112 km - 64 km = 0

Combine like terms:

x - 176 km = 0

Add 176 km to both sides of the equation:

x = 176 km

Answer

The tourists agreed to cover a total distance of 176 km.

Verification

Let's verify our answer by substituting the value of 'x' back into the equation:

(176 km - 112 km) / 2 - 32 km = 0

(64 km) / 2 - 32 km = 0

32 km - 32 km = 0

0 = 0

The equation holds true, which confirms that our answer is correct.

Conclusion

The tourists agreed to cover a total distance of 176 km.