Question

из села выезал мотоциклист со скоростью 28,8 км/ч. Спустя 1,2 ч вслед за ним выехал автомобиль , скорость которого в 1,8 раза больше скорости мотоцикла. Какое расстояние будет между ними: а) через 0,6 ч после выезада автомобиля? б) через 1,5 ч после выезда автомобиля?​

Answer 1

Ответ:32,8*1,2=39,36 (км) - проехал мотоциклист до выезда автомобиля

32,8*1,8=59,04 (км/ч) - скорость автомобиля

32,8*0,6=19,68 (км) - проехал мотоциклист через 0,6 часов после выезда автомобиля

59,04*0,6=35,424 (км) - проехал автомобиль за 0,6 часов

39,36+19,68=59,04 (км) - на таком расстоянии мотоциклист оказался от села

59,04-35,424=23,616 - расстояние через 0,6 часов

32,8*1,5=49,2 (км) - проехал мотоц. через 1,5 часа после выезда автомобиля

59,04*1,5=88,56 (км) проехал автомобиль за 1,5 часа

49,2+39,36=88,56 (км) - проехал мотоциклист за 1,5 часа

Через 1,5 часа автомобиль догнал мотоциклиста

Answer 2

Calculation of Distances

To calculate the distances between the motorcycle and the car at different times, we need to use the formula:

Distance = Speed × Time

Given information: - Speed of the motorcycle = 28.8 km/h - Speed of the car = 1.8 times the speed of the motorcycle - Time after the car starts following the motorcycle: - Case a) 0.6 hours - Case b) 1.5 hours

Let's calculate the distances in each case.

Calculation for Case a) 0.6 hours

To calculate the distance between the motorcycle and the car after 0.6 hours, we can use the following steps:

1. Calculate the distance traveled by the motorcycle in 0.6 hours: - Distance = Speed × Time - Distance = 28.8 km/h × 0.6 h

2. Calculate the distance traveled by the car in 0.6 hours: - Since the car's speed is 1.8 times the speed of the motorcycle, the car's speed is: - Car's speed = 1.8 × 28.8 km/h - Distance = Car's speed × Time - Distance = (1.8 × 28.8 km/h) × 0.6 h

3. Calculate the difference in distances between the car and the motorcycle: - Difference = Distance of the car - Distance of the motorcycle

Let's calculate the distances for Case a) 0.6 hours.

Step 1: Calculate the distance traveled by the motorcycle:

Distance = 28.8 km/h × 0.6 h = 17.28 km

Step 2: Calculate the distance traveled by the car:

Car's speed = 1.8 × 28.8 km/h = 51.84 km/h

Distance = 51.84 km/h × 0.6 h = 31.104 km

Step 3: Calculate the difference in distances:

Difference = 31.104 km - 17.28 km = 13.824 km

Therefore, the distance between the motorcycle and the car after 0.6 hours is approximately 13.824 km.

Calculation for Case b) 1.5 hours

To calculate the distance between the motorcycle and the car after 1.5 hours, we can follow the same steps as in Case a).

Step 1: Calculate the distance traveled by the motorcycle:

Distance = 28.8 km/h × 1.5 h = 43.2 km

Step 2: Calculate the distance traveled by the car:

Car's speed = 1.8 × 28.8 km/h = 51.84 km/h

Distance = 51.84 km/h × 1.5 h = 77.76 km

Step 3: Calculate the difference in distances:

Difference = 77.76 km - 43.2 km = 34.56 km

Therefore, the distance between the motorcycle and the car after 1.5 hours is approximately 34.56 km.

Summary of Results

The distances between the motorcycle and the car are as follows:

a) After 0.6 hours: 13.824 km b) After 1.5 hours: 34.56 km

Please note that these calculations are based on the given information and assumptions.