Question

Теплоход прошол за 4 часа за тичением речки 75.6км,а против течения за 3 часа 46.2 км. найдите скорость теплохода в стоячей воде и скорость течения

Answer 1

75.6/4=19.6
46.2/3=15.4
x+y=19.6   x=19.6-y
x-y=15.4 19.6-2y=15.4 2y=2.1км/ч
x=19.6-2.1=17.5км/ч

Answer 2

Calculation of Speed of the Boat and Speed of the Current

To find the speed of the boat in still water and the speed of the current, we can use the formula:

Speed of the boat in still water = (Distance downstream / Time downstream + Distance upstream / Time upstream) / 2 Speed of the current = (Distance downstream / Time downstream - Distance upstream / Time upstream) / 2

Given: - Distance downstream = 75.6 km - Time downstream = 4 hours - Distance upstream = 46.2 km - Time upstream = 3 hours

Let's calculate the speed of the boat in still water and the speed of the current using the given values.

Calculation:

Speed of the boat in still water = (75.6 km / 4 hours + 46.2 km / 3 hours) / 2

Speed of the current = (75.6 km / 4 hours - 46.2 km / 3 hours) / 2

Now, let's calculate the values:

Speed of the boat in still water = (18.9 km/h + 15.4 km/h) / 2 = 34.3 km/h

Speed of the current = (18.9 km/h - 15.4 km/h) / 2 = 1.75 km/h

Therefore, the speed of the boat in still water is 34.3 km/h and the speed of the current is 1.75 km/h.

Please note that these calculations assume a constant speed of the current throughout the journey.