Question

Длина водохранилища на 200 км больше его ширины. поездка на катере с одинаковой скоростью через водохранилище по его длине занимает 30 ч., а по ширине 20 ч.. найди длину и ширину водохранилища.

Answer 1

1)30-20=10(ч.)-разница во времени.
2)200:10=20(км/ч.)-скорость катера.
3)20*30=600(км.)-длина водохранилища.
4)20*20=400(км.)-ширина. 

Answer 2

Calculation of the Length and Width of the Reservoir

To find the length and width of the reservoir, we can use the information provided about the time it takes to travel across the reservoir at different directions.

Let's assume that the speed of the boat is constant throughout the journey.

According to the information given, it takes 30 hours to travel the length of the reservoir and 20 hours to travel the width of the reservoir.

Let's denote the length of the reservoir as L and the width of the reservoir as W.

From the given information, we can set up the following equations:

1. L/W = 30/20 (since the time taken to travel the length is 30 hours and the time taken to travel the width is 20 hours) 2. L = W + 200 (since the length of the reservoir is 200 km more than its width)

To solve these equations, we can substitute the value of L from equation 2 into equation 1:

(W + 200)/W = 30/20

Now, let's solve this equation to find the value of W:

(W + 200)/W = 3/2

Cross-multiplying, we get:

2(W + 200) = 3W

Expanding and simplifying:

2W + 400 = 3W

Subtracting 2W from both sides:

400 = W

Therefore, the width of the reservoir is 400 km.

To find the length of the reservoir, we can substitute the value of W into equation 2:

L = 400 + 200 = 600 km

Therefore, the length of the reservoir is 600 km.

In conclusion, the length of the reservoir is 600 km and the width of the reservoir is 400 km.