Question

Из одного города в другой выехал автобус со скоростью 56 целых две пятых километров в час через 1 час вслед за ним выехала легковая машина через 2 часа он Обогнал автобус и отъехал от него на расстояние 10 метров Найдите скорость легковой машины

Answer 1

1+2=3ч 
56,4*3=169,2км проехал автобус
169,2+10=179,2км проехала легковая машина
179,2:2=89,6км/ч скорость легковой машины

Answer 2

Calculation of the Car's Speed

To find the speed of the car, we need to determine the distance it traveled and the time it took to cover that distance.

Given information: - The bus traveled at a speed of 56 and 2/5 kilometers per hour. - The car started 1 hour after the bus and overtook it after 2 hours, at a distance of 10 meters.

Let's calculate the distance traveled by the bus and the car:

1. Distance traveled by the bus: - Speed of the bus = 56 and 2/5 kilometers per hour. - Time taken by the bus = 2 hours (since the car overtakes the bus after 2 hours). - Distance = Speed × Time = (56 and 2/5) × 2 = 112 and 4/5 kilometers.

2. Distance traveled by the car: - The car overtakes the bus after 2 hours and is 10 meters ahead. - Since the car overtakes the bus, the distance traveled by the car is equal to the distance traveled by the bus plus the additional 10 meters. - Distance = Distance traveled by the bus + 10 meters = 112 and 4/5 kilometers + 10 meters.

Now, let's convert the distance traveled by the car to kilometers:

- 1 kilometer = 1000 meters. - 10 meters = 10/1000 = 1/100 kilometer.

Therefore, the distance traveled by the car is 112 and 4/5 kilometers + 1/100 kilometer.

To find the speed of the car, we need to divide the total distance traveled by the car by the time it took to cover that distance.

3. Time taken by the car: - The car started 1 hour after the bus and overtook it after 2 hours. - Time taken by the car = 2 hours - 1 hour = 1 hour.

Now, let's calculate the speed of the car:

- Speed = Distance / Time = (112 and 4/5 + 1/100) / 1.

To simplify the calculation, let's convert the mixed fraction to an improper fraction:

- 112 and 4/5 = (112 × 5 + 4) / 5 = 564/5.

Now, let's substitute the values into the formula:

- Speed = (564/5 + 1/100) / 1.

To add fractions, we need a common denominator. The common denominator for 5 and 100 is 500.

- Speed = ((564 × 100) / (5 × 100) + 1/100) / 1 = (56400/500 + 1/100) / 1 = (56400 + 5) / 500 = 56405 / 500.

Therefore, the speed of the car is 56405/500 kilometers per hour.

Please note that the speed of the car is a fraction and can be further simplified if needed.