A car travels along four sides of a square at speeds of $100, 200, 300$ and $400$ km/hr. Find average speed.

192

km/hr

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194

km/hr

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196

km/hr

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198

km/hr

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Solution

The correct option is D $192$ km/hr
Let side of the square be $a$ km
Time, $t_{1} = \frac{a}{100}$
$t_{2} = \frac{a}{200}$
$t_{3} = \frac{a}{300}$
$t_{4} = \frac{a}{400}$
Total Time, $T = t_{1} + t_{2} + t_{3} + t_{4} = \frac{25 a}{1200}$
Total Distance, $D = 4 a$
$∴$ Average Speed $= \frac{D}{T} = \frac{4 a .1200}{25 a} = 192$ km/hr

Ans $\to$ A

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