Question

Поезд шел 3,3 часа со скоростью 64,4 км/ч. На сколько надо увеличить скорость поезда, чтобы пройти это расстояние за 2,2 часа?

Answer 1

3,3*64,4 = 212,52 км - прошёл поезд.
212,52:2,2 = 96,6 км/ч - с такой скоростью должен идти поезд.
96,6-64,4 = 32,2 км/ч - на столько нужно увеличить скорость.

Answer 2

Calculation of Distance Traveled by the Train

To calculate the distance traveled by the train, we can use the formula:

Distance = Speed × Time

Given that the train traveled for 3.3 hours at a speed of 64.4 km/h, we can substitute these values into the formula to find the distance:

Distance = 64.4 km/h × 3.3 hours

Calculating this, we find that the train traveled a distance of approximately 212.52 kilometers.

Calculation of Increased Speed Required to Cover the Distance in 2.2 Hours

To find the increased speed required to cover the distance in 2.2 hours, we can rearrange the formula for distance:

Speed = Distance / Time

Substituting the known values into the formula, we have:

Speed = 212.52 km / 3.3 hours

Calculating this, we find that the initial speed of the train was approximately 64.4 km/h.

To find the increased speed required to cover the distance in 2.2 hours, we can rearrange the formula for speed:

Speed = Distance / Time

Substituting the known values into the formula, we have:

Speed = 212.52 km / 2.2 hours

Calculating this, we find that the increased speed required to cover the distance in 2.2 hours is approximately 96.6 km/h.

Therefore, the train would need to increase its speed by approximately 32.2 km/h to cover the distance in 2.2 hours.