What is the difference in speed between two cars when one traveled 175 km in 4 hours and the other traveled the same distance in 3 hours?

Respuesta :

Given :

  • Distance = 175
  • Time 1 = 4 hours

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To find:

  • Different between two speeds when distance is same.

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Solution:

Part 1 :

In first part we will find speed 1 in which time is 4 hours

we know:-

[tex] \bigstar \boxed{ \rm speed = \frac{distance}{time} }[/tex]

So:-

[tex] \dashrightarrow\sf speed_1 = \dfrac{distance}{time_1} [/tex]

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[tex] \dashrightarrow\sf speed_1 = \dfrac{175}{4} [/tex]

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[tex] \dashrightarrow\bf speed_1 = 43.75 \: km {h}^{ - 1} [/tex]

Part 2

In first part we will find speed 2 in which time is 3 hours

Again:

[tex] \bigstar \boxed{ \rm speed = \frac{distance}{time} }[/tex]

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[tex] \dashrightarrow\sf speed_2 = \dfrac{distance}{time_2} [/tex]

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[tex] \dashrightarrow\sf speed_2 = \dfrac{175}{3} [/tex]

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[tex] \dashrightarrow\bf speed_2 = 58.33kmh^{-1}[/tex]

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Part 3

In this part we will find different between speed 1 and speed 2

[tex] \bigstar \boxed{\rm Difference = speed_2 - speed_1}[/tex]

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So :

[tex] \dashrightarrow\sf Difference = speed_2 - speed_1 \\ [/tex]

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[tex] \dashrightarrow\sf Difference =58.33 - 43.75\\ [/tex]

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[tex] \dashrightarrow\bf Difference =14.58kmh^{-1}\\ [/tex]

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[tex]\therefore \underline {\textsf{\textbf{Difference in speed between two cars is \red{14.58km/h}}}}[/tex]

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