Question -:
A train is moving at a uniform speed of 80 kilometre per hour.
a) how far will it travel in 15 minutes
b) find the time required to cover a distance of 250 km. { as per direct and inverse propositions}.
Explanation -:
a)
Given that the train is moving at a uniform speed of 80 km/h.
Time taken = 15 minutes
First we will convert the time
[tex] \small \sf Time \: taken = 15 min = \dfrac{ \cancel{15}}{ \cancel{60}}hr = \dfrac{1}{4}hr [/tex]
Now we will calculate the distance
We know,
[tex] ✪ \: \small\boxed{ \frak{ {Distance }= {Speed} × Time }}[/tex]
Substituting the values in the given formula
[tex] \small\sf{ Distance = \cancel{ 80} \: \: 20 \: km/ \cancel{ hr} × \dfrac{1}{ \cancel{4}} \cancel{hr} =20km }[/tex]
Distance covered in 15 minutes = 20 km
[tex] \rule {40mm}{2pt}[/tex]
b)
Given that the train is moving at a uniform speed of 80 km/h.
Distance covered = 250 km
Calculating the time
We know,
[tex] ✪ \: \small\boxed{ \frak{ Time = \dfrac{Distance}{Speed}}}[/tex]
Substituting the values in the given formula
[tex] \small\sf{ Time = \dfrac{250 km}{80 km/hr} =3 \: hrs \: 20 \: mins }[/tex]
[tex] \star \: \small\sf{ Final \: Answer }[/tex]
- Distance = 20 km
- Time = 3 hrs 20 minutes
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