Respuesta :
Given :
- Distance = 175
- Time 1 = 4 hours
[tex] \\ \\ [/tex]
To find:
- Different between two speeds when distance is same.
[tex] \\ \\ [/tex]
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]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf speed_1 = \dfrac{175}{4} [/tex]
[tex] \\ \\ [/tex]
[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]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf speed_2 = \dfrac{distance}{time_2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf speed_2 = \dfrac{175}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf speed_2 = 58.33kmh^{-1}[/tex]
[tex] \\ \\ [/tex]
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]
[tex] \\ \\ [/tex]
So :
[tex] \dashrightarrow\sf Difference = speed_2 - speed_1 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Difference =58.33 - 43.75\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Difference =14.58kmh^{-1}\\ [/tex]
[tex] \\ \\ [/tex]
[tex]\therefore \underline {\textsf{\textbf{Difference in speed between two cars is \red{14.58km/h}}}}[/tex]