Question

Автобус за перший день проїхав 0,32 всієї відстані, за другий - 0,65 решти, за третій - 0,5 нової решти,за четвертий решту - 59,5 км. Який шлях проїхав автобус за чотири дні?

Answer 1

Весь путь х км

1 день= 0,32х

2 день=(х-0,32х)*0,65=0,65х-0,208х=0,442х

3 день- (х-(0,32х+0,442х))*0,5= (х- 0,762х)*0,5=0,5х-0,381х=0,119х

х-(0,32х+0,442х+0,119х)=59,5

х- 0,881х=59,5

0,119х=59,5

 х=59,5/0,119

х=500

Проверка

1день   0,32*500 =160км

2 день  0,442*500 =221км

3 день 0,119*500= 59,5км

160+221+59,5+59,5= 500км

 

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Answer 2

Calculation of the Bus's Total Distance Traveled

To calculate the total distance traveled by the bus over the four days, we need to add up the distances traveled on each day.

1. On the first day, the bus traveled 0.32 of the total distance. 2. On the second day, the bus traveled 0.65 of the remaining distance. 3. On the third day, the bus traveled 0.5 of the remaining distance. 4. On the fourth day, the bus traveled the remaining distance, which is 59.5 km.

To find the total distance, we can follow these steps:

1. Calculate the remaining distance after the first day: - Remaining distance = Total distance - Distance traveled on the first day - Remaining distance = Total distance - 0.32 * Total distance

2. Calculate the remaining distance after the second day: - Remaining distance = Remaining distance - Distance traveled on the second day - Remaining distance = Remaining distance - 0.65 * Remaining distance

3. Calculate the remaining distance after the third day: - Remaining distance = Remaining distance - Distance traveled on the third day - Remaining distance = Remaining distance - 0.5 * Remaining distance

4. The remaining distance after the third day is equal to the distance traveled on the fourth day: - Distance traveled on the fourth day = Remaining distance = 59.5 km

Now, let's calculate the total distance traveled by the bus.

Calculation Steps:

1. Calculate the remaining distance after the first day: - Remaining distance = Total distance - 0.32 * Total distance

2. Calculate the remaining distance after the second day: - Remaining distance = Remaining distance - 0.65 * Remaining distance

3. Calculate the remaining distance after the third day: - Remaining distance = Remaining distance - 0.5 * Remaining distance

4. The remaining distance after the third day is equal to the distance traveled on the fourth day: - Distance traveled on the fourth day = Remaining distance = 59.5 km

Let's perform the calculations:

1. Remaining distance after the first day: - Remaining distance = Total distance - 0.32 * Total distance - Remaining distance = (1 - 0.32) * Total distance - Remaining distance = 0.68 * Total distance

2. Remaining distance after the second day: - Remaining distance = Remaining distance - 0.65 * Remaining distance - Remaining distance = 0.68 * Total distance - 0.65 * (0.68 * Total distance) - Remaining distance = 0.68 * Total distance - 0.442 * Total distance - Remaining distance = 0.238 * Total distance

3. Remaining distance after the third day: - Remaining distance = Remaining distance - 0.5 * Remaining distance - Remaining distance = 0.238 * Total distance - 0.5 * (0.238 * Total distance) - Remaining distance = 0.238 * Total distance - 0.119 * Total distance - Remaining distance = 0.119 * Total distance

4. Distance traveled on the fourth day: - Distance traveled on the fourth day = Remaining distance = 59.5 km

Therefore, the total distance traveled by the bus over the four days is 59.5 km.