Question

help help help help​

Answer 1

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since equal distances are covered at 40 km/h and 60 km/hr, we can apply the formula 2xy/(x+y)

✯Average speed=

$2 \times 40 \times 60 \div (40 + 60)$

$= 4800 \div 100$

$= 48$

This formula works as follows

✯Let the distance to one side = x

Total distance = 2x

✯Time taken for the forward journey=$\frac{x}{40}$

✯Time taken for the return journey=$\frac{x}{60}$

Total time = $\frac{x}{40} + \frac{x}{60}$

$= \frac{100x}{2400}$

$= \frac{x}{24}$

✯Average speed = $\frac{total \: dist}{total \: time}$

$= \frac{2x}{ \frac{x}{24} }$

$= \frac{48x}{x}$

$= 48 \: kmph$

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