Question

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?

Answer 1

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:-

`\bigstar \boxed{ \rm speed = (distance)/(time) }`

So:-

`\dashrightarrow\sf speed_1 = (distance)/(time_1)`

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`\dashrightarrow\sf speed_1 = (175)/(4)`

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`\dashrightarrow\bf speed_1 = 43.75 \: km {h}^( - 1)`

Part 2

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

Again:

`\bigstar \boxed{ \rm speed = (distance)/(time) }`

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`\dashrightarrow\sf speed_2 = (distance)/(time_2)`

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`\dashrightarrow\sf speed_2 = (175)/(3)`

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`\dashrightarrow\bf speed_2 = 58.33kmh^(-1)`

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Part 3

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

`\bigstar \boxed{\rm Difference = speed_2 - speed_1}`

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So :

`\dashrightarrow\sf Difference = speed_2 - speed_1 \\`

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`\dashrightarrow\sf Difference =58.33 - 43.75\\`

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`\dashrightarrow\bf Difference =14.58kmh^(-1)\\`

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