You pass a road sign saying "New York 112 km . " If you drive at a constant speed of 65 mi / h,

step 1 So in this question, we're going to try to figure out how long will take us to drive 112 kilomet

You pass a road sign saying "New York 112 km . " If you...

You pass a road sign saying "New York $112 \mathrm{~km} .$ " If you drive at a constant speed of $65 \mathrm{mi} / \mathrm{h}$, how long should it take you to reach New York? If your car gets 28 miles to the gallon, how manv liters of gasoline are necessary to travel $112 \mathrm{~km}$ ?

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Key Concepts

Fuel Efficiency

Fuel efficiency measures how far a vehicle can travel on a specific amount of fuel, typically expressed in miles per gallon or liters per 100 kilometers. This concept is important for estimating fuel consumption, which affects travel costs, range, and environmental impact on a journey.

Dimensional Analysis

Dimensional analysis is a technique used to check the consistency of units in calculations by converting one set of units to another. It ensures that mathematical expressions are dimensionally consistent and helps prevent errors when combining rates, distances, or volumes measured in different units.

Unit Conversion

Unit conversion involves transforming a measurement from one set of units to another using conversion factors. This is necessary when working with quantities in different measurement systems, such as converting kilometers to miles or gallons to liters, to maintain consistency and accuracy in calculations.

Speed, Distance, and Time Relationship

This fundamental concept in physics and mathematics is summarized by the equation distance = speed × time. It is used to determine one unknown variable when the other two are provided, making it essential for planning travel times and understanding motion.

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