Question

два туриста двигались с одинаковой скоростью. первый прошел 8 км. второй - 12 км. сколько времени был в пути каждый турист, если первый затратил на дорогу на 40 минут меньше чем второй?

Answer 1

1) 12 - 8 = 4 км(сколько проходит каждый за 40 минут)
2)(8:4)*40=80 минут был в пути первый.
3)(12:4)*40=120 минут был в пути второй

Answer 2

Problem Analysis

We have two tourists who are traveling at the same speed. The first tourist covers a distance of 8 km, while the second tourist covers a distance of 12 km. The first tourist takes 40 minutes less time than the second tourist. We need to calculate the time taken by each tourist.

Solution

Let's assume that the speed of both tourists is v km/h.

We know that distance = speed × time.

For the first tourist, the distance covered is 8 km, so we can write the equation as: 8 = v × t1, where t1 is the time taken by the first tourist.

For the second tourist, the distance covered is 12 km, so we can write the equation as: 12 = v × t2, where t2 is the time taken by the second tourist.

We also know that the first tourist takes 40 minutes less time than the second tourist. Since 1 hour is equal to 60 minutes, we can convert this to hours by dividing 40 minutes by 60: 40 minutes = 40/60 hours = 2/3 hours.

So, we can write another equation as: t1 = t2 - 2/3.

Now, we have two equations with two variables. We can solve these equations to find the values of t1 and t2.

Solution Steps:

1. From the first equation, we can express t1 in terms of v: t1 = 8/v. 2. Substitute this value of t1 in the second equation: 12 = v × t2 = v × (t1 + 2/3) = v × (8/v + 2/3) = 8 + 2v/3. 3. Simplify the equation: 12 = 8 + 2v/3. 4. Subtract 8 from both sides: 4 = 2v/3. 5. Multiply both sides by 3/2: 6 = v. 6. Substitute the value of v back into the first equation to find t1: t1 = 8/v = 8/6 = 4/3 hours. 7. Substitute the value of t1 into the equation t1 = t2 - 2/3 to find t2: 4/3 = t2 - 2/3. 8. Add 2/3 to both sides: 4/3 + 2/3 = t2. 9. Simplify: 6/3 = t2. 10. Simplify further: 2 = t2.

Therefore, the first tourist was in transit for 4/3 hours (or 1 hour and 20 minutes), and the second tourist was in transit for 2 hours.

Answer

The first tourist was in transit for 1 hour and 20 minutes, while the second tourist was in transit for 2 hours.