Question

В парусной регате яхта победитель шла со скоростью 35 километров в час и через 4 часа пересекла линию финиша. На каком расстоянии от финиша оказалась в тот момент яхта занявшая 2 место если её скорость была равна 32 километра в час ?(если яхты стартовали одновременно) Реши задачу двумя способами. Помогите пожалуйста!

Answer 1

1 способ
35*4=140(км)-проехал победитель за 4 часа.
32*4=128(км)-проехал второй.
140-128=12(км)

Answer 2

1]35•4=180
2]32•4=168
3]180-168=12 1 способ

1]35-32=3
2]3•4=12

Answer 3

Problem Analysis

We are given that in a sailing regatta, the winning yacht was traveling at a speed of 35 kilometers per hour and crossed the finish line after 4 hours. We need to determine the distance from the finish line at which the yacht in second place was at that moment, given that its speed was 32 kilometers per hour.

Solution 1: Using Distance = Speed × Time

We can use the formula Distance = Speed × Time to calculate the distance from the finish line for the yacht in second place.

For the winning yacht: - Speed = 35 kilometers per hour - Time = 4 hours

Using the formula, we can calculate the distance traveled by the winning yacht: Distance = Speed × Time = 35 km/h × 4 h = 140 kilometers

Now, let's calculate the distance from the finish line for the yacht in second place: - Speed = 32 kilometers per hour - Time = 4 hours

Using the formula, we can calculate the distance traveled by the yacht in second place: Distance = Speed × Time = 32 km/h × 4 h = 128 kilometers

Therefore, the yacht in second place was 128 kilometers from the finish line at that moment.

Solution 2: Using Relative Speed

Another way to solve this problem is by considering the relative speed between the two yachts.

The relative speed between the two yachts is the difference in their speeds: Relative Speed = Speed of the winning yacht - Speed of the yacht in second place = 35 km/h - 32 km/h = 3 km/h

Since the yachts started at the same time, the time taken by the yacht in second place to reach the finish line after the winning yacht is the same as the time taken by the winning yacht to cross the finish line.

Using the formula Distance = Speed × Time, we can calculate the distance from the finish line for the yacht in second place: Distance = Relative Speed × Time = 3 km/h × 4 h = 12 kilometers

Therefore, the yacht in second place was 12 kilometers from the finish line at that moment.

Conclusion

In summary, the yacht in second place was either 128 kilometers or 12 kilometers from the finish line at that moment, depending on the method used to calculate the distance.