Question

Туристы в первый день прошли 90км, во второй 60км. на весь путь они затратили 30 часов. сколько часов были в пути туристы каждый день, если они шли с одинаковой скоростью?

Answer 1

1)90+60=150 км - общий путь
2)150:30=5 км,ч - скорость
3)90:5=18 ч - в пути 1 день
4) 60:5=12 ч - в пути 2 день

Answer 2

Solution:

Let's denote the speed of the tourists as x km/h. We can use the formula:

distance = speed × time

Given that the tourists walked 90 km on the first day and 60 km on the second day, and the total time taken was 30 hours, we can set up the following equations:

1. 90 = x * t1 (where t1 is the time taken on the first day) 2. 60 = x * t2 (where t2 is the time taken on the second day) 3. t1 + t2 = 30 (total time taken)

We can solve these equations to find the time taken by the tourists each day.

Calculation:

From equation 1, we can express t1 in terms of x: t1 = 90 / x

From equation 2, we can express t2 in terms of x: t2 = 60 / x

Substitute t1 and t2 into the total time equation: 90 / x + 60 / x = 30

Solving for x: 150 / x = 30 x = 150 / 30 x = 5

Now that we have found the speed x to be 5 km/h, we can find the time taken on each day: t1 = 90 / 5 = 18 hours t2 = 60 / 5 = 12 hours

Answer:

Therefore, the tourists were in transit for 18 hours on the first day and 12 hours on the second day, walking at a constant speed of 5 km/h.