Question

Prateek travelled from Pune to Mumbai at 60 km/h and then from Mumbai to Pune at 100 km/h. Find his average speed of the journey.?​

Answer 1

The average speed journey is 3.28 km/hr.

Given - Speed

Find - Average speed

Solution - Let the distance between Pune to Mumbai be x km. Similarly, distance between Mumbai and Pune will be x km.

Now, time for journey between Pune to Mumbai is x/60 h. And, time for journey between Mumbai to Pune is x/100 h.

The average speed is calculated by the formula -

Average speed = $\frac{distance \\ travelled }{time \\ taken}$

Average speed = $\frac{ x + x }{ \frac{x}{60} + \frac{x}{100} }$

Average speed = $\frac{2x}{0.6x + 0.01x}$

Average speed = $\frac{2x}{0.61x}$

Average speed = 3.28 km/h

Hence, the average speed is 3.28 km/hr.

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