Question

В 19 часов от пристани отошли в противоположных направлениях два быстроходных катера. Средняя скорость одного из них 48 км/ч, другого - 52 км/ч. В котором часу расстояние между катерами будет равно 300 км? Какое расстояние пройдет к этому времени каждый из них?

Answer 1

1)48+52=100(км/ч) - сумма скоростей катеров

2)300:100=3(часа)- время движения катеров

3)19+3=22(часа)- в это время расстояние между катерами будет равно 300 км

4)48*3=144 (км) - прошёл первый

5)300-144=156(км) - прошёл второй

Answer 2

Calculating the Distance and Time Traveled by Two Speedboats

To calculate the distance and time traveled by the two speedboats, we can use the formula:

Distance = Speed × Time

Let's denote: - Speed of the first boat as S1 (48 km/h) - Speed of the second boat as S2 (52 km/h) - Time as T (in hours)

We are given that the speedboats departed in opposite directions at 19:00 and we need to find the time when the distance between them is 300 km.

Calculating the Time to Reach 300 km Apart

Let's assume: - The time taken by both boats to reach a distance of 300 km apart is T hours.

Using the formula for distance, we can set up the equation:

Distance1 + Distance2 = 300 km

Substituting the values: S1 × T + S2 × T = 300

Now, we can solve for T: 48T + 52T = 300 100T = 300 T = 3 hours

So, the time when the distance between the speedboats is 300 km is 3 hours after they departed, which is at 22:00.

Calculating the Distance Traveled by Each Boat

Now, let's calculate the distance traveled by each boat in 3 hours.

For the first boat: Distance1 = Speed1 × Time Distance1 = 48 km/h × 3 hours Distance1 = 144 km

For the second boat: Distance2 = Speed2 × Time Distance2 = 52 km/h × 3 hours Distance2 = 156 km

Therefore, each boat will have traveled 144 km and 156 km, respectively, by the time the distance between them is 300 km.

So, at 22:00, the first boat will have traveled 144 km, and the second boat will have traveled 156 km.

I hope this helps! If you have further questions, feel free to ask.