Question

Катера плывут навстречу друг другу. скорость первого катера 18 километров час а скорость второго катера на 6 километров в час больше .сейчас между ними 168 километров на каком расстоянии друг от друга будет катера через 3 часа ?Через сколько времени они встретятся?

Answer 1

1) 18+6=24 км/в час
2) 24+18=42 - скорость их сближения
3) 168-42*3=42 км будет между ними через 3 час
4)168:42= 4 часа они встретятся

Answer 2

S-x
168-(18×3+(18-6))×3)=x
168-90=x
-x=-78:(-1)
x=78

Answer 3

Problem Analysis

We are given two boats traveling towards each other. The first boat has a speed of 18 kilometers per hour, while the second boat has a speed 6 kilometers per hour faster than the first boat. The initial distance between the boats is 168 kilometers. We need to determine the distance between the boats after 3 hours and the time it takes for them to meet.

Distance between the Boats after 3 Hours

To find the distance between the boats after 3 hours, we need to calculate the distance each boat has traveled in that time.

The distance traveled by the first boat after 3 hours can be calculated using the formula: Distance = Speed × Time

For the first boat: Distance1 = 18 km/h × 3 h

The distance traveled by the second boat after 3 hours can be calculated using the same formula: Distance = Speed × Time

For the second boat: Distance2 = (18 km/h + 6 km/h) × 3 h

To find the distance between the boats after 3 hours, we subtract the distance traveled by the second boat from the initial distance between the boats: Distance between the boats after 3 hours = Initial distance - Distance2

Let's calculate the distances.

Calculation

The distance traveled by the first boat after 3 hours: Distance1 = 18 km/h × 3 h = 54 km

The distance traveled by the second boat after 3 hours: Distance2 = (18 km/h + 6 km/h) × 3 h = 24 km/h × 3 h = 72 km

The distance between the boats after 3 hours: Distance between the boats after 3 hours = 168 km - 72 km = 96 km

Therefore, the distance between the boats after 3 hours will be 96 kilometers.

Time to Meet

To find the time it takes for the boats to meet, we can use the formula: Time = Distance / Relative Speed

The relative speed is the sum of the speeds of the two boats.

Let's calculate the time.

Calculation

The relative speed of the two boats: Relative Speed = 18 km/h + (18 km/h + 6 km/h) = 18 km/h + 24 km/h = 42 km/h

The time it takes for the boats to meet: Time = 168 km / 42 km/h = 4 hours

Therefore, it will take 4 hours for the boats to meet.

Summary

To summarize: - The distance between the boats after 3 hours will be 96 kilometers. - The boats will meet after 4 hours.

Please note that the calculations are based on the given information and assumptions.