A particle covers 1/4^th of the total distance at a speed of 20 km/hr, 1/2 of the total distance at a speed of 40 km/hr, 1/6^th of the total distance at a speed of 10 km/hr and remaining 1/12^th of the distance at a speed of 30 km/hr. What is the average speed in km/hr?

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11.25 km/hr

30 km/hr

15 km/hr

22.5 km/hr

answer is A.

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Detailed Solution

${v_{avg}} = \frac{{{S_{total}}}}{{time}}\$
${v_{avg}} = \frac{S}{{\frac{S}{{4 \times 20}} + \frac{S}{{2 \times 40}} + \frac{S}{{6 \times 10}} + \frac{S}{{12 \times 30}}}} = 22.5Km/hr\$

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