28.04.2023

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}.

. 3

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09.07.2023, solved by verified expert
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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

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

Now we will calculate the distance

We know,

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

Substituting the values in the given formula

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

Distance covered in 15 minutes = 20 km

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

b)

Given that the train is moving at a uniform speed of 80 km/h.

Distance covered = 250 km

Calculating the time

We know,

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

Substituting the values in the given formula

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

Distance = 20 kmTime = 3 hrs 20 minutes

A train is moving at a uniform speed of 80 kilometre, №18010385, 28.04.2023 11:32

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Mathematics
Step-by-step answer
P Answered by Specialist
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

\small \sf Time \:  taken = 15 min  =  \dfrac{ \cancel{15}}{ \cancel{60}}hr  =  \dfrac{1}{4}hr

Now we will calculate the distance

We know,

✪ \: \small\boxed{ \frak{ {Distance }=  {Speed} × Time }}

Substituting the values in the given formula

\small\sf{ Distance = \cancel{ 80} \:  \: 20 \: km/ \cancel{ hr}   × \dfrac{1}{ \cancel{4}} \cancel{hr} =20km }

Distance covered in 15 minutes = 20 km

\rule {40mm}{2pt}

b)

Given that the train is moving at a uniform speed of 80 km/h.

Distance covered = 250 km

Calculating the time

We know,

✪ \: \small\boxed{ \frak{ Time = \dfrac{Distance}{Speed}}}

Substituting the values in the given formula

\small\sf{ Time = \dfrac{250 km}{80 km/hr} =3 \: hrs \: 20 \: mins }

\star \:  \small\sf{ Final \:  Answer }

Distance = 20 kmTime = 3 hrs 20 minutes

••═════════════••══════

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1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
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