Question

A car Travels one third distance on a straight road with a velocity of 10 km per hour next one third with velocity 20 kilometre per hour and the last one third with velocity 60 km per hour what is the average velocity of the car in the whole journey​

Answer 1

Answer:5 m / s

Explanation:

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Answer 2

Answer:

18 Km/hr

Explanation:

Given:

Speed for the first one third distance = 10 km/hr

Speed for the next one third distance = 20 km/hr

Speed for the last one third distance = 60 km/hr

let the total distance traveled be '3x' km

Now,

time = Distance / speed

thus,

time for the first one third distance = $\frac{\frac{3x}{3}}{10}=\frac{x}{10}\ hours$

similarly,

time for the next one third distance = $\frac{\frac{3x}{3}}{20}=\frac{x}{20}\ hours$

and,

time for the last one third distance = $\frac{\frac{3x}{3}}{60}=\frac{x}{60}\ hours$

now,

the average speed = Total distance traveled / total time taken

or

the average speed = $\frac{3x}{\frac{x}{10}+\frac{x}{20}+\frac{x}{60}}$

or

the average speed =  $\frac{3x}{\frac{6x+3x+1x}{60}}$

or

the average speed =  $\frac{3}{\frac{10}{60}}$

or the average speed = 18 Km/hr