Question

Автомобиль должен проехать за 3 дня 1430 км. В первый день он ехал 6 ч со скоростью 82км/ч, во второй день он увеличил скорость на 4 км/ч и ехал с этой скорость 7 ч. С какой скоростью должен ехать автомобиль в третий день, чтобы проехать оставшееся расстояние за 4 часа?

Answer 1

1430-(82*6+(82+4)*7)=336
336:4=84

Answer 2

Calculation of the Remaining Distance

To find the speed at which the car should travel on the third day to cover the remaining distance in 4 hours, we need to calculate the remaining distance first.

On the first day, the car traveled for 6 hours at a speed of 82 km/h. Therefore, the distance covered on the first day is:

Distance on the first day = Speed × Time = 82 km/h × 6 h = 492 km

On the second day, the car traveled for 7 hours at a speed increased by 4 km/h. Therefore, the distance covered on the second day is:

Distance on the second day = Speed × Time = (82 km/h + 4 km/h) × 7 h = 86 km/h × 7 h = 602 km

To find the remaining distance, we subtract the distances covered on the first and second days from the total distance:

Remaining distance = Total distance - Distance on the first day - Distance on the second day

Remaining distance = 1430 km - 492 km - 602 km = 336 km

Calculation of the Required Speed

To find the speed at which the car should travel on the third day to cover the remaining distance in 4 hours, we divide the remaining distance by the time:

Required speed = Remaining distance / Time = 336 km / 4 h = 84 km/h

Therefore, the car should travel at a speed of 84 km/h on the third day to cover the remaining distance in 4 hours.