Question

Два лыжника были в пути одинаковое время. за час они проходили вместе 32 км. первый лыжник прошел 72 км, а второй 60 км. сколько км проходил в час каждый лыжник

Answer 1

1)72-32=40 2)60-32=28

Answer 2

Calculating the Speed of Each Skier

To calculate the speed of each skier, we can use the information provided in the question.

Let's denote the speed of the first skier as x km/h and the speed of the second skier as y km/h.

Given that both skiers were in the journey for the same amount of time and covered 32 km together in one hour, we can create the following equation:

x + y = 32 km/h

Additionally, we know that the first skier covered 72 km and the second skier covered 60 km in the same amount of time. Using the formula distance = speed × time, we can create the following equations:

x = 72 / t km/h y = 60 / t km/h

Where t is the time in hours.

Solving for the Speed of Each Skier

To solve for the speed of each skier, we can use the equation x + y = 32 and substitute the expressions for x and y from the second set of equations.

Substituting x = 72 / t and y = 60 / t into x + y = 32, we get:

72 / t + 60 / t = 32

Solving for t:

72 + 60 = 32t 132 = 32t t = 132 / 32 t = 4.125 hours

Now that we have the value of t, we can substitute it back into the equations for x and y to find their speeds.

x = 72 / 4.125 x ≈ 17.45 km/h

y = 60 / 4.125 y ≈ 14.55 km/h

Conclusion

Therefore, the first skier was traveling at approximately 17.45 km/h and the second skier was traveling at approximately 14.55 km/h.