Question

a train travels 16.8 km in 25 minutes find the speed of the train in
km/h
m/s

Answer 1

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$\underline{\underline{\large{\textbf{Solution:}}}}$

Given,
Distance covered by the train= 16.8 km
time taken = 25 minutes

$\underline{\large{\textbf{Step-1:}}}$
Express given time taken by the train in Hours.

$\bigstar 1\: Hour = 60\: Minutes$

$\implies 1\: min = \frac{1}{60}\: Minutes$

Multiply with 25 on both sides

$\implies 25\: min = \frac{25}{60}\: Hrs$

$\implies 25\: min = \frac{5}{12}\: Hrs$

time taken by train in Hrs = $\frac{5}{12}\: Hrs$

$\underline{\large{\textbf{Step-2:}}}$
Find the Speed of the train in kmph

$\bigstar$ Speed of the train = $\dfrac{Distance\: covered}{time\: taken}$

Substituting values

$\implies$ Speed of the train = $\dfrac{16.8}{\frac{5}{12}}$

$\implies$ Speed of the train = $\dfrac{16.8\times 12}{5}$

$\implies$ Speed of the train = $\dfrac{168\times 12}{50}$

$\implies$ Speed of the train = $\dfrac{2016}{50}$

$\implies$ Speed of the train = $40.32\, kmph$

$\underline{\large{\textbf{Step-3:}}}$
Find the Speed of the train in mps

$\bigstar 1\: kmph = \frac{5}{18}\: mph$

$\implies$ Speed of the train = $40.32\, \times \frac{5}{18}\: mph$

$\implies$ Speed of the train = $40.32\, \times \frac{5}{18}\: mph$

$\implies$ Speed of the train = $11.2\: mph$

$\therefore$
$\bigstar \textsf{Speed of the train = 40.32 Kmph}$

$\bigstar \textsf{Speed of the train = 11.2 Kmph}$

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Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

AnswEr:

• The speed of train in km/h = 40.32 km/hours
• The speed of train in m/s = 11.2 m/s

Given:

• A train travels 16.8 km in 25 minutes.

Need To Find:

• The speed of train in km/hours = ?
• The speed of train in m/s = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\dag$ In First Case:

Given Information:

• Time taken = 25min

Need To Find:

• The speed of train in km/hours = ?

We know that:

• 1 hours = 60 minutes

$\longrightarrow \sf { Time = \dfrac{\cancel{25}}{\cancel{60}} \: hours}$

$\longrightarrow \sf { Time = \frac{5}{12} hours}$

Now, Formula used here:

$\bigstar \: \boxed{ \sf \: Speed = \frac{Distance}{Time } }$

Putting the values according to the given formula:

➪ The speed of train = 16.8 ÷ 5/12

➪ The speed of train = 16.8 × 12/5

➪ The speed of train = 40.32 km/hours

ThereFore:

• The speed of train in km/h = 40.32 km/hours

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$\dag$In Second Case:

Given Information:

• Distance travelled = 16.8km
• Time taken = 25 minutes

Need To Find:

• The speed of train in m/s = ?

☞︎︎︎Distance travelled = 16.8km

We know that:

• 1km = 1000m

$\longrightarrow \sf \red {16.8 \times 1000}$

$\longrightarrow \sf \red {16800\:m}$

☞︎︎︎Time taken = 25 minutes

As we know that:

• 1 minutes = 60 seconds

$\longrightarrow \sf \pink{ 25 \times 60}$

$\longrightarrow \sf \pink{1500\: Second}$

Now,Formula used here:

$\bigstar \: \boxed{ \sf \: Speed = \frac{Distance}{Time } }$

Putting the values according to the given formula:

➪ The speed of the train = 16800/1500

➪ The speed of the train = 168/15

➪ The speed of the train = 11.2 m/s

ThereFore:

• The speed of train in m/s = 11.2 m/s

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