Question

87

A man covers 1/3 of his journey by train at 60 km/hr, next 1/3 by bus at 30 km/hr and the rest by
cycle at 10 km/hr. Find his average speed during whole journey.​

Answer 1

Step-by-step explanation:

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Answer 2

The average speed is 20 km/hr.

Step-by-step explanation:

Consider the provided information.

$Time=\frac{Distance}{Speed}$

Let the total distance of the journey is = d km

A man covers 1/3 of his journey by train at 60 km/hr.

$T_1=\dfrac{\frac{d}{3}}{60}=\dfrac{d}{180}$

Next 1/3 by bus at 30 km/hr.

$T_2=\dfrac{\frac{d}{3}}{30}=\dfrac{d}{90}$

The rest by  cycle at 10 km/hr.

The rest distance is: $d-\frac{d}{3}-\frac{d}{3}=\frac{d}{3}$

$T_3=\dfrac{\frac{d}{3}}{10}=\dfrac{d}{30}$

The formula to calculate average speed is: $\text{Average speed}= \frac{\text{Total distance}}{\text{Elapsed Time}}$

$\text{Average speed}= \frac{d}{\frac{d}{180}+\frac{d}{90}+\frac{d}{30}}=20$

Hence, the average speed is 20 km/hr.

#Learn more

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