Question

Abdul while driving to school computes the average speed for his trip to be 20h^-1 . On his return trip along the same route, there is less traffic and the average speed is 30^-1 . What is the average speed for abdul's trip

Answer 1

The average speed for Abdul's trip is 24 km/h.

Explanation:

Consider the :

The distance traveled by Abdul from home to school - s km.

Time taken to reach the school - t 1 seconds.

Return journey , Abdul cover distance - s km.

So, Time - t 2 seconds.

Therefore,

• Average speed for forward journey :

$\bigstar\;\boxed{\bf\dfrac{Total\;Distance}{Total\;Time}}$

So,

⇒ 20 km/h = s/t1

⇒ t1 = s/20 h

____________[ Equation 1 ]

So,

• Average speed for backward journey :

$\bigstar\;\boxed{\dfrac{\bf Total\;Distance}{\bf{Total\;Time}}}$

So,

⇒ t2 = s/30h

____________[ Equation 2 ]

Now,

• Average distance for entire journey :

$\bigstar\;\boxed{\dfrac{\bf Total\;Distance}{\bf{Total\;Time}}}$

According to it,

$\implies \sf \dfrac{s+s}{s/20 +s/30}\\ \\ \\ \implies \sf \dfrac{2s}{s[1/20+1/30}\\ \\ \\\implies \sf 2\times20\times \dfrac{30}{50}\\ \\ \\ \implies \sbf 24 km/hr$

∴ The average speed for Abdul's trip is 24 km/h .

Answer 2

Answer:

Distance traveled to reach the school = distance traveled to reach home =

d (say)

Time taken to reach school = t1

Time taken to reach home = t2

therefore, average speed while going to school = = = 20 kmph

Average speed while going home = = = = 30 kmph

Therefore, and

Now, the average speed for the entire trip is given by = kmph = kmph = kmh-1 = 120/5 kmh-1 = 24 kmh-1

Therefore, Abduls average speed for the entire trip is 24 kilometers per hour.