Question

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A person goes from point P to Q covering 1/3 of the distance with speed 10km/ hr , the next 1/3 of the distance at 20km/ hr . The avearage speed of the person is:--

a) 30 km/hr b) 24km/hr c) 18km/hr d)12 km/hr.

plzz solve it ..

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Answer 1

Answer:

20 +10 km per hour is equal to 30 km per hour

Answer 2

Hi there,

I think the question given is incomplete as the distance is given in 3 parts so there should one more 1/3 rd of the distance with its respective speed. I have rewritten the complete question and solved it accordingly. Thanks

Q. A person goes from point P to point Q covering 1/3 of the distance with speed 10km/hr . The next 1/3 of the distance at 20km/hr and the last 1/3 of the distance 60km/hr . The avearage speed of the person is

a) 30km/hr

b) 24 km/hr

c) 18 km/hr

d) 12km /hr

If 1/3rd distance is covered with 10 km/hr, next 1/3rd distance covered with 20 km/hr & last 1/3rd with 60 km/hr then the avg speed is option (c): 18 km/hr.

Explanation:

Let the total distance be “x” km.

It is given,

First, [x/3] distance is covered with a speed of 10 km/hr, so the time taken is = $\frac{\frac{x}{3}}{10}$ hr

Next, [x/3] distance is covered with a speed of 20 km/hr, so the time taken is = $\frac{\frac{x}{3}}{20}$ hr

And,

Last, [x/3] distance is covered with a speed of 60 km/hr, so the time taken is = $\frac{\frac{x}{3}}{60}$ hr

Now, the formula for average speed is given as,

Average Speed = [Total distance] / [Total time]

Thus, by substituting the values, we get

The average speed of the person is,

= $\frac{\frac{x}{3}+\frac{x}{3} +\frac{x}{3}}{<strong>\frac{\frac{x}{3}}{10}+\frac{\frac{x}{3}}{20}+\frac{\frac{x}{3}}{60}</strong>}$

= $\frac{3}{\frac{1}{10} + \frac{1}{20} + \frac{1}{60}}$

= $\frac{3 * 60}{10}$

= 18 km/hr

Hope this is helpful!!!!!

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