A car travels from calabar to Enugu a distance ... - JAMB Mathematics 1991 Question

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}

correct option: b

Average speed = (\frac{\text{total Distance}}{\text{Total Time})

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

= p + q x (\frac{uw}{pw + qu})

= (\frac{uw(p + q)}{pw + qu})

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