Question

A train takes 4 h to travel from station A to station B and return to station B in 6 h.
distance between station A and station B is 800 km. Find the average speed of the train.​

Answer 1

ㅤ$\;\;\underline{\textbf{\textsf{Given:-}}}$

• Distance between station A and B

( d₁ or d₂) = 800km

• Time taken to go= 4 hr

• Time taken to back = 6 hr

ㅤ$\;\;\underline{\textbf{\textsf{To Find :-}}}$

• Average speed of the train

ㅤ$\;\;\underline{\textbf{\textsf{Solution :-}}}$

$\underline{\:\textsf{ As we know that :}}$

$\boxed{\sf \ Average \ speed = \dfrac{Total \ Distance}{Total \ time }}$

$\underline{\:\textsf{Putting the values :}}$

$\dashrightarrow \sf Average \ speed = \dfrac{d_1+d_2}{t_1+t_2}\\ \\ \dashrightarrow \sf Av.\ speed = \dfrac{800+800}{6+4}\\ \\ \dashrightarrow \sf \ Av.\ speed = \dfrac{1600}{10}\\ \\\dashrightarrow \sf \ Av.\ speed = 160km/h$

ㅤ$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ The average speed of the train is </p><p>\textbf{160km/hr}}}.$

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Answer 2

Explanation:

ㅤGiven:-‾\;\;\underline{\textbf{\textsf{Given:-}}}

Given:-

• Distance between station A and B

( d₁ or d₂) = 800km

• Time taken to go= 4 hr

• Time taken to back = 6 hr

ㅤTo Find :-‾\;\;\underline{\textbf{\textsf{To Find :-}}}

To Find :-

• Average speed of the train

ㅤSolution :-‾\;\;\underline{\textbf{\textsf{Solution :-}}}

Solution :-

As we know that :‾\underline{\:\textsf{ As we know that :}}

As we know that :

Average speed=Total DistanceTotal time\boxed{\sf \ Average \ speed = \dfrac{Total \ Distance}{Total \ time }}

Average speed=

Total time

Total Distance

Putting the values :‾\underline{\:\textsf{Putting the values :}}

Putting the values :

⇢Average speed=d1+d2t1+t2⇢Av. speed=800+8006+4⇢ Av. speed=160010⇢ Av. speed=160km/h\begin{lgathered}\dashrightarrow \sf Average \ speed = \dfrac{d_1+d_2}{t_1+t_2}\\ \\ \dashrightarrow \sf Av.\ speed = \dfrac{800+800}{6+4}\\ \\ \dashrightarrow \sf \ Av.\ speed = \dfrac{1600}{10}\\ \\\dashrightarrow \sf \ Av.\ speed = 160km/h\end{lgathered}

⇢Average speed=

t

1

+t

2

d

1

+d

2

⇢Av. speed=

6+4

800+800

⇢ Av. speed=

10

1600

⇢ Av. speed=160km/h

ㅤ Hence-‾\;\;\underline{\textbf{\textsf{ Hence-}}}

Hence-

The average speed of the train is 160km/hr‾.\underline{\textsf{ The average speed of the train is \textbf{160km/hr}}}.

The average speed of the train is 160km/hr

.

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