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Bus $X$ Travels a Distance of $360\,Km$ in $5$ Hours Whereas Bus $Y$ Travels a distance of $476\,Km$ in $7$ Hours. Which Bus Travels Faster?

Last updated date: 24th Jul 2024
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Hint: Speed is a scalar quantity that describes "the rate at which an object moves." The rate at which an object travels over a given distance is known as speed. A fast-moving target moves quickly and travels a vast distance in a brief period of time.

Complete step by step answer:
The term "speed" is described as the pace at which an object's orientation changes in some direction. Speed is defined as the ratio of distance travelled to the time it took to travel that distance. Since speed has just one direction and no amplitude, it is a scalar quantity.

The speed (commonly referred to as v) of an object in ordinary usage and in kinematics is the magnitude of the change in its position; it is thus a scalar quantity. The average speed of an object in a time period is the object's distance travelled separated by the interval's length; the instantaneous speed is the average speed's limit as the interval's duration reaches nil.

\[{\rm{ Speed }} = \dfrac{{{\rm{ Distance }}}}{{{\rm{ Time }}}}\]
Consider bus $X$
Distance = 360 km
Time = 5 hr
\[{\rm{ Speed }} = \dfrac{{{\rm{ Distance }}}}{{{\rm{ Time }}}} \\
\Rightarrow {\rm{ Speed }}= \dfrac{{360}}{5} \\
\therefore {\rm{ Speed }}= 72\,km/hr\]

Consider bus $Y$
Distance = 476 km
Time = 7 hr
\[{\rm{ Speed }} = \dfrac{{{\rm{ Distance }}}}{{{\rm{ Time }}}} \\
\Rightarrow {\rm{ Speed }} = \dfrac{{476}}{7} \\
\therefore {\rm{ Speed }} = 68\,km/hr\]

Hence, the speed of bus X is more than bus Y.

Note: The measurements of speed are distance separated by time. The metre per second is the SI unit of time, although the kilometre per hour, or miles per hour in the United States and the United Kingdom, is the most common unit of speed in daily use. The knot is widely used in air and maritime transport.