Question

a person goes to market from his home with an average speed of 20 km/hr on his return trip along the same route there is less traffic and the average speed is 30 km/hr .what will be the average speed for his entire journey​

Answer 1

$\large{\underline{\boxed{\tt Answer}}}$

24 kmh is the average speed of his entire journey.

$\large{\underline{\boxed{\tt Explanation}}}$

Given Problem:

A person goes to market from his home with an average speed of 20 km/hr on his return trip along the same route there is less traffic and the average speed is 30 km/hr .what will be the average speed for his entire journey​.

Solution:

To Find:

Average speed for his entire journey​

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Given That,

⇒Let the distance traveled by Abdul from home to school = y km.

⇒Time taken to reach the school = t 1 second.

⇒For Return journey,Abdul cover distance = y km.

⇒Time = t2 second.

∴ Average speed for forward journey{home - school}= $\frac{Total distance}{Total time.}$

⇒20 km/h = y/t1

⇒t1  =s/20 h -------------equation(1)

⇒Average speed for backward journey[school -home]= $\frac{Total distance}{Total time.}$

⇒30 km/h =s/t2

⇒t2=y/30h ----------------equation(2)

⇒Average distance for entire journey = $\frac{Total distance}{Total time.}$

According to formula,

⇒(s+s)/[s/20 +s/30]

⇒2s/s[1/20+1/30]

⇒2x20x30/50

⇒24 km/hr..........................(Answer)