A person travels 600 km by train 80 km-hr and 100 km by car 50 km-hr- What is the average speed the entire distance-

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A person travels $600 k m$ by train at $80 k m / h r$ and $100 k m$ by car at $50 k m / h r$ . What is the average speed for the entire distance?

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Solution

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average speed $= \frac{(t o t a l d i s t a n c e t r a v e l e d)}{(t o t a l t i m e t a k e n)}$

Given: first $600 k m$ traveled with $80 k m / h r$ speed and next $100 k m$ traveled with $50 k m / h r$ speed.

therefore total distance $= 700 k m$

total time taken $= \frac{600}{80} + \frac{100}{50} = 9.5$ hours

so average speed $= \frac{700}{9.5} = 73.6842105$ $k m / h r$

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A person travels $600 k m$ by train at $80 k m / h r$ and $100 k m$ by car at $50 k m / h r$ . What is the average speed for the entire distance?