A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average s...

Question 1 Report

A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin

\frac{(p + q)}{p w + q u}

\frac{u w (p + q)}{p w + q u}

$\frac{u w (p + q)}{p w}$

\frac{u w}{p w + q u}

Answer Details

Average speed = $\frac{t o t a l D i s t a n c e}{T o t a l T i m e}$

from Calabar to Enugu in time t1, hence

t1 = $\frac{P}{U}$

Also from Enugu to Benin

t2 $\frac{q}{w}$

Av. speed = $\frac{p + q}{t_{1} + t_{2}}$

= $\frac{p + q}{p / u + q / w}$

= p + q x $\frac{u w}{p w + q u}$

= $\frac{u w (p + q)}{p w + q u}$

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