Question

Шофёр ехал от города до села на грузовике со скоростью 40км\ч Обратно он ехал на легковой машине со скоростью 70км\ч и затратил 4ч Сколько часов ехал шофёр на грузовике??? (напишите пож пояснения и что в скобках например грузовик или км и нарисуйте чертёшь поиииз

Answer 1

Calculation of Travel Time

To calculate the travel time of the driver, we need to consider the distances traveled and the speeds of the vehicles. Let's assume the distance between the city and the village is D kilometers.

The driver traveled from the city to the village on a truck at a speed of 40 km/h. The time taken for this journey can be calculated using the formula:

Time = Distance / Speed

So, the time taken for the first leg of the journey (from the city to the village) is:

Time1 = D / 40

The driver returned from the village to the city on a car at a speed of 70 km/h. The time taken for this journey can be calculated using the same formula:

Time = Distance / Speed

So, the time taken for the second leg of the journey (from the village to the city) is:

Time2 = D / 70

According to the given information, the total time taken for the round trip is 4 hours. Therefore, we can write the equation:

Time1 + Time2 = 4

Substituting the values of Time1 and Time2, we get:

(D / 40) + (D / 70) = 4

Now, we can solve this equation to find the value of D, which represents the distance between the city and the village.

Let's solve the equation:

(D / 40) + (D / 70) = 4

To simplify the equation, we can find a common denominator:

(7D + 4D) / (40 * 70) = 4

Simplifying further:

11D = 4 * (40 * 70)

D = (4 * 40 * 70) / 11

Using a calculator, we can find that D ≈ 101.82 km.

Now that we know the distance, we can calculate the time taken for the first leg of the journey:

Time1 = D / 40 ≈ 101.82 / 40 ≈ 2.55 hours

Therefore, the driver traveled on the truck for approximately 2.55 hours.

Conclusion

The driver traveled on the truck for approximately 2.55 hours.