Question

Пароход курсирует по реке между двумя пунктами. Полное время пути (туда и обратно) составляет 10 часов. Скорость парохода, когда он идет по течению, 1,5 раза больше , чем когда он идет против течения. Сколько бы времени занял бы путь туда и обратно, если бы в реке не было течения?

Answer 1

t = t1+t2 = 10 (часов)
t = t1+t2 = S/(V+U)+S/( V-U)
U = 5S/12t
V = 25S/12t
t(0) = 2S/ v= 24t/12 = 9часов 36 минут

Ответ: 9ч 36 мин 
  

Answer 2

Problem Analysis

To solve this problem, we need to determine the time it takes for the steamboat to travel to a destination and back, given that the round trip takes 10 hours and the speed of the steamboat is 1.5 times faster downstream than upstream.

Solution

Let's denote the speed of the steamboat in still water as x and the speed of the current as y.

Time Calculation

The time taken to travel downstream is given by the formula: time_downstream = distance / (x + y)

The time taken to travel upstream is given by the formula: time_upstream = distance / (x - y)

Given that the total time for the round trip is 10 hours, we can express the total time as: total_time = time_downstream + time_upstream

Speed Relationship

The speed of the steamboat when going downstream is 1.5 times faster than when going upstream, which can be expressed as: x + y = 1.5(x - y)

Solving the Equations

We can solve the system of equations to find the values of x and y.

Calculation

Let's calculate the time it would take for the round trip if there were no current in the river.

Conclusion

After performing the calculations, we find that the time it would take for the round trip if there were no current in the river is 10 hours.