Question

Пароход должен пройти 370 км за 9 часов. Первые 2 часа он шёл со скоростью 35 км/ч, следующие 4 часа - со скоростью 45 км/ч. С какой скоростью он должен идти оставшийся путь, чтобы пройти весь путь в назначенный срок?

Answer 1

1)за первые два часа пароход прошел 2*35=70 км
2) за следующие 4 часа пароход прошел 4*45=180 км
3) всего он прошел 70+180=250 км
4) осталось ему пройти 370-250=120 км
5) а времени у него осталось 9-(2+4)=3 часа
6) и двигаться эти три часа он должен со скоростью 120:3=40 км/час

Answer 2

Calculation of Remaining Distance and Required Speed

To calculate the remaining distance and the required speed for the ship to complete the entire journey in the designated time, we can break down the problem into two parts:

1. Calculate the distance covered in the first 6 hours. 2. Calculate the remaining distance and the required speed for the remaining 3 hours.

Let's calculate each part step by step.

Part 1: Distance Covered in the First 6 Hours

In the first 2 hours, the ship traveled at a speed of 35 km/h. So, the distance covered in the first 2 hours is:

Distance1 = Speed1 * Time1 = 35 km/h * 2 hours = 70 km.

In the next 4 hours, the ship traveled at a speed of 45 km/h. So, the distance covered in the next 4 hours is:

Distance2 = Speed2 * Time2 = 45 km/h * 4 hours = 180 km.

Therefore, the total distance covered in the first 6 hours is:

Total Distance1 = Distance1 + Distance2 = 70 km + 180 km = 250 km.

Part 2: Remaining Distance and Required Speed for the Remaining 3 Hours

The total distance the ship needs to cover is 370 km. So, the remaining distance after the first 6 hours is:

Remaining Distance = Total Distance - Total Distance1 = 370 km - 250 km = 120 km.

The remaining time is 3 hours.

To calculate the required speed for the remaining distance, we can use the formula:

Required Speed = Remaining Distance / Remaining Time.

Substituting the values, we get:

Required Speed = 120 km / 3 hours = 40 km/h.

Therefore, the ship needs to travel at a speed of 40 km/h for the remaining 3 hours to complete the entire journey in the designated time.

Please note that the calculations are based on the given information and assumptions that the ship maintains a constant speed throughout each time interval.

Let me know if there's anything else I can help you with!