Question

Моторная лодка догоняет плот . сейчас расстояние между ними 35км.скорость плота 2,5км/ч,а скорость моторной лодки 9,5км/ч.какое расстояние будет между ними через tчасов ,если t=0,5;3;5?

Answer 1

За 0,5 часов лодка пройдёт 0,5*9,5=4,75 км, плот 0,5*2,5=1,25 км. Расстояние между ними будет 35+1,25-4,75=31,5 км.За 3 часа лодка пройдёт 3*9,5=28,5 км, плот 3*2,5=7,5 км. Расстояние между ними будет 35+7,5-28,5=14 км.За 5 часов лодка пройдёт 5*9,5=47,5 км, плот 5*2,5=12,5 км. Расстояние между ними будет 35+12,5-47,5=0 км, то есть лодка догнала плот.

Answer 2

Calculation of Distance between the Motorboat and the Barge

To calculate the distance between the motorboat and the barge after a certain number of hours, we can use the formula:

Distance = Initial Distance + (Relative Speed × Time)

Where: - Initial Distance is the initial distance between the motorboat and the barge. - Relative Speed is the difference in speed between the motorboat and the barge. - Time is the number of hours.

Let's calculate the distance between the motorboat and the barge after 0.5, 3, and 5 hours.

1. For t = 0.5 hours: - Initial Distance = 35 km - Relative Speed = Speed of the motorboat - Speed of the barge = 9.5 km/h - 2.5 km/h = 7 km/h - Distance = 35 km + (7 km/h × 0.5 h) = 38.5 km

2. For t = 3 hours: - Initial Distance = 35 km - Relative Speed = Speed of the motorboat - Speed of the barge = 9.5 km/h - 2.5 km/h = 7 km/h - Distance = 35 km + (7 km/h × 3 h) = 56 km

3. For t = 5 hours: - Initial Distance = 35 km - Relative Speed = Speed of the motorboat - Speed of the barge = 9.5 km/h - 2.5 km/h = 7 km/h - Distance = 35 km + (7 km/h × 5 h) = 70 km

Therefore, the distance between the motorboat and the barge after 0.5 hours is 38.5 km, after 3 hours is 56 km, and after 5 hours is 70 km.