Question

Неопытный турист впервые приехал в США и взял напрокат автомобиль. Ему сказали, что этот автомобиль на одном галлоне топлива может проехать k=17.5 миль, а объем топливного бака - m=20 галлонов. При этом турист знает, что в одном галлоне 3.78 литра, а в одной миле - 1.6 км. 1) Каков расход топлива этого автомобиля в более привычных туристу литрах на 100 км пути; 2) На сколько километров пути хватит полного бака топлива; 3) Сколько времени займет этот путь при предельно допустимой скорости в n=55 миль/час Путь приведите с точностью до целых, остальные ответы приведите с точностью до сотых.

Answer 1

1 галлон=3,78 л
17,5 миль=28 км
20 галлонов=75,6 л
55 миль\час=88,5 км\час

1. 3,78:28*100=13,5 л\100 км
2. 75,6:13,5*100=560 км
3. 560:88,5=6,33 час.

Answer 2

Calculation of Fuel Consumption in Liters per 100 Kilometers

To calculate the fuel consumption of the car in liters per 100 kilometers, we need to convert the given values to the metric system.

Given: - Fuel efficiency: k = 17.5 miles per gallon - Fuel tank capacity: m = 20 gallons - Conversion factors: 1 gallon = 3.78 liters and 1 mile = 1.6 kilometers

To convert the fuel efficiency from miles per gallon to liters per 100 kilometers, we can use the following formula:

Fuel Consumption (liters per 100 kilometers) = (Fuel Efficiency (miles per gallon) * 3.78) / (Distance per gallon (miles) / Distance per liter (kilometers))

The distance per gallon can be calculated by multiplying the fuel efficiency by the number of miles in a gallon:

Distance per gallon (miles) = Fuel Efficiency (miles per gallon) * 1 gallon

The distance per liter can be calculated by converting the distance per gallon to kilometers:

Distance per liter (kilometers) = Distance per gallon (miles) * 1.6 kilometers

Let's calculate the fuel consumption in liters per 100 kilometers:

Fuel Consumption (liters per 100 kilometers) = (k * 3.78) / ((k * 1 gallon) / ((k * 1 gallon) * 1.6 kilometers))

Simplifying the equation:

Fuel Consumption (liters per 100 kilometers) = (k * 3.78) / (1.6 kilometers)

Now we can substitute the given value of k = 17.5 miles per gallon into the equation:

Fuel Consumption (liters per 100 kilometers) = (17.5 miles per gallon * 3.78) / (1.6 kilometers)

Calculating the result:

Fuel Consumption (liters per 100 kilometers) = 41.565 / 1.6 = 25.978125 liters per 100 kilometers

Therefore, the fuel consumption of the car is approximately 25.98 liters per 100 kilometers.

Calculation of Maximum Distance with a Full Tank

To calculate the maximum distance the car can travel with a full tank of fuel, we need to multiply the fuel tank capacity by the fuel efficiency.

Given: - Fuel tank capacity: m = 20 gallons - Fuel efficiency: k = 17.5 miles per gallon

The maximum distance can be calculated as follows:

Maximum Distance = Fuel Tank Capacity * Fuel Efficiency

Substituting the given values:

Maximum Distance = 20 gallons * 17.5 miles per gallon

Calculating the result:

Maximum Distance = 350 miles

Therefore, the car can travel a maximum distance of 350 miles with a full tank of fuel.

Calculation of Travel Time at Maximum Speed

To calculate the travel time for the given distance at the maximum speed, we need to divide the distance by the speed.

Given: - Distance: 350 miles - Maximum speed: n = 55 miles per hour

The travel time can be calculated as follows:

Travel Time = Distance / Maximum Speed

Substituting the given values:

Travel Time = 350 miles / 55 miles per hour

Calculating the result:

Travel Time = 6.3636 hours

Therefore, the travel time at the maximum speed of 55 miles per hour is approximately 6.36 hours.

Please note that the distance and travel time are rounded to the nearest whole number, while the fuel consumption is rounded to two decimal places.