Question

A train takes 3.5 hrs to reach station B from station A, and then 4.5 hrs to return from station B to station A. The distance between the 2 stations is 300km. Find the average speed and average velocity of the train?​

Answer 1

Given

Time to reach station B from station A is 3.5 hours.

Time to reach station A from station B is 4.5 hours.

Distance b/w two stations is 300 km.

To find

Average speed & average velocity of train

Solution

Finding average speed of train :

Here time to reach station from A to B & from station B to station A are 3.5 hours & 4.5 hours respectively.

⟼ Total time = 3.5 + 4.5

⟼ Total time = 8 hours.

Again, distance b/w two stations is 300 km.Here, train travels from station A to B & station B to A, so train will travel the same root twice.

➝ Total distance = 300 + 300

➝ Total distance = 600 km.

We know that,

➥ Average speed = Total distance/Total time.

Putting values :

⇰ Average speed = 600 km/8 h

⇰ Average speed = 75 km/h

Therefore,

Average speed of train = 75 km/h

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Finding average velocity of train :

Here, the train travels from station A to station B & comes back to station A from station B.

As the train comes back to its initial point, so displacement of train = 0

We know that,

➥ Average velocity = Total displacement/Total time

Putting values :

⟼ Average velocity = 0/(4.5 + 3.5)

⟼ Average velocity = 0/8

⟼ Average velocity = 0 km/h

Therefore,

Average velocity of train = 0 km/h

Answer 2

Explanation:

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$\bf \huge Question \: \:$

A train takes 3.5 hrs to reach station B from station A, and then 4.5 hrs to return from station B to station A. The distance between the 2 stations is 300km. Find the average speed and average velocity of the train?

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$\bf \huge solution \: \:$

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$\bf \huge \: Find \: it$

Find the average speed and average velocity of the train?

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$\bf \huge \: given$

• A train takes 3.5 hrs to reach station B from station A,

• then 4.5 hrs to return from station B to station A.

• The distance between the 2 stations is 300km

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$\bf \: Total \: Distance = 300km+300km \\ \bf \: = 600km$

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$\bf \: according \: to \: the \: formula$

We know the Formula ,

$\bf \: average \: speed \: = \frac{total \: distance}{total \:time}$

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Putting the value from formula

$\bf \: average \: speed \: = \frac{600}{3.5 + 4.5} \\ \\ \bf \: average \: speed = \frac{600}{8} = \red{75 \frac{km}{h}}$

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Distance S = 0

$\bf \: average \: velocity \: = \frac{total \: displacement}{total \: time} \\ \\ \bf \: \: putting \: the \: value \\ \\ \bf \: \frac{0}{3.5 + 4.5} </strong><strong>\</strong><strong>r</strong><strong>e</strong><strong>d</strong><strong>{</strong><strong>= 0 \frac{km}{h}</strong><strong>}</strong><strong>$