You pass a road sign saying "New York 112 km." If you drive at a constant speed of 65 mi/h, how long should it take you to reach New York? If your car gets 28 miles to the gallon, how many liters of gasoline are necessary to travel 112 km?
This is an exercise in conversions.
a. Convert 112 km to miles, then
distance = rate x time. Substitute distance in miles, rate = 65 mph, solve for time in hours.
b.
Convert 28 miles to km and gallon to liters.
Then km/L x #L = 112 km. Solve for #L.
A. 0.93
B.
1.07 hr
To determine how long it will take you to reach New York, we can use the equation:
Time = Distance / Speed
First, convert the distance from kilometers to miles. Since 1 mile is approximately 1.609 kilometers, multiply 112 km by 1 mile/1.609 km:
112 km * (1 mile / 1.609 km) = 69.59 miles (approximately)
Next, divide the distance in miles by the speed in miles per hour to find the time:
Time = 69.59 miles / 65 mph ≈ 1.07 hours (approximately)
Therefore, it should take you approximately 1.07 hours (or about 1 hour and 4 minutes) to reach New York if you drive at a constant speed of 65 mi/h.
Now, let's calculate the amount of gasoline required to travel 112 km.
Since your car gets 28 miles per gallon, divide the distance traveled in miles (69.59 miles) by the fuel efficiency in miles per gallon:
Fuel required = 69.59 miles / 28 miles per gallon ≈ 2.48 gallons
Lastly, convert the quantity from gallons to liters. One gallon is approximately equal to 3.78541 liters:
Fuel required = 2.48 gallons * 3.78541 liters/gallon ≈ 9.39 liters
Therefore, approximately 9.39 liters of gasoline are necessary to travel 112 km.