Question

В забеге на некоторую дистанцию учавствуют черепаха и заяц, который бежит в 35 раз быстрее черепахи. Черепаха затратила на всю дистанцию 2 часа 20 минут. Если известно, что соперники прибыли к финишу одновременно, то сколько времени после начала движения черепахи оставался на старте заяц, прежде чем побежал вслед?

Answer 1

то с7 часов времени после начала движения черепахи оставался на старте заяц, прежде чем побежал вслед.

Answer 2

Problem Analysis

We are given that a turtle and a hare participate in a race, with the hare running 35 times faster than the turtle. The turtle takes 2 hours and 20 minutes to complete the race. If both competitors arrive at the finish line simultaneously, we need to determine how much time the hare spent at the starting line before starting to run.

Solution

Let's assume that the distance of the race is d units. Since the turtle takes 2 hours and 20 minutes to complete the race, we can convert this time to minutes: 2 hours * 60 minutes/hour + 20 minutes = 140 minutes.

We know that the hare runs 35 times faster than the turtle. Therefore, the hare's speed is 35 units per minute.

To find the time it takes for the hare to complete the race, we can divide the distance by the hare's speed: d / 35.

Since both competitors arrive at the finish line simultaneously, the total time taken by the hare is equal to the total time taken by the turtle: d / 35 = 140.

Solving this equation will give us the value of d, which represents the distance of the race.

Once we have the distance, we can find the time the hare spent at the starting line before starting to run by dividing the distance by the hare's speed: d / 35.

Let's calculate the time the hare spent at the starting line:

Calculation

To find the distance of the race, we can solve the equation d / 35 = 140 for d:

d = 140 * 35 = 4900.

Therefore, the distance of the race is 4900 units.

Now, let's calculate the time the hare spent at the starting line:

Time = Distance / Speed = 4900 / 35 = 140.

Therefore, the hare spent 140 minutes at the starting line before starting to run.

Answer

The hare spent 140 minutes at the starting line before starting to run.

Explanation

In this problem, we are given that a turtle and a hare participate in a race, with the hare running 35 times faster than the turtle. The turtle takes 2 hours and 20 minutes to complete the race. If both competitors arrive at the finish line simultaneously, we need to determine how much time the hare spent at the starting line before starting to run.

To solve this problem, we first convert the time taken by the turtle to minutes, which is 2 hours * 60 minutes/hour + 20 minutes = 140 minutes. We then set up an equation where the total time taken by the hare is equal to the total time taken by the turtle. Since the hare runs 35 times faster than the turtle, we divide the distance of the race by 35 to find the time taken by the hare. Solving this equation, we find that the distance of the race is 4900 units. Finally, we divide the distance by the hare's speed to find the time the hare spent at the starting line, which is 140 minutes.

Therefore, the hare spent 140 minutes at the starting line before starting to run.