Question

По лесу прошли 10% маршрута, 2/5 маршрута проплыли на плотах . остальное прошли по горам . по реке прошли на 8 км больше , чем по лесу . сколько км проплыли на плотах

Answer 1

Пусть х км-длина всего маршрута,тогда 0,1х км прошли по лесу,тогда 2/5х км проплыли на плотах.По условию задачи по реке проплыли на 8 км больше ,чем по лесу,значит,
2/5х-0,1х=8
0,4х-0,1х=8
 0,3х=8
х=8÷0,3
 х=80/3
 80/3 км длина маршрута.
80/3×2/5=160/15км -на плотах   

Answer 2

Calculation of Distance Traveled

To calculate the distance traveled on foot, by boat, and through the mountains, we can use the given information:

- 10% of the route was traveled on foot. - 2/5 of the route was traveled by boat. - The remaining distance was traveled through the mountains. - The distance traveled by boat was 8 km more than the distance traveled on foot.

Let's denote the total distance of the route as D.

The distance traveled on foot is 10% of D, which can be expressed as 0.1D.

The distance traveled by boat is 2/5 of D, which can be expressed as (2/5)D.

The remaining distance traveled through the mountains can be calculated by subtracting the distances traveled on foot and by boat from the total distance:

Remaining distance = D - (0.1D + (2/5)D) = D - (0.1 + 0.4)D = D - 0.5D = 0.5D.

According to the given information, the distance traveled by boat is 8 km more than the distance traveled on foot. This can be expressed as:

(2/5)D = 0.1D + 8.

To solve this equation, we can multiply both sides by 5 to eliminate the fraction:

2D = 0.5D + 40.

Next, we can subtract 0.5D from both sides:

1.5D = 40.

Finally, we can divide both sides by 1.5 to solve for D:

D = 40 / 1.5 = 26.67 km.

Now that we have the total distance of the route, we can calculate the distance traveled by boat:

Distance traveled by boat = (2/5)D = (2/5) * 26.67 km = 10.67 km.

Therefore, the distance traveled by boat is approximately 10.67 km.