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MathematicsJAMB UTME1991

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Earlier discussion

2 older comments kept for context.

Oluwaseun Adeyemi

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 = \(\frac{q}{w}\)

Average speed = \(\frac{p + q}{t_1 + t_2}\)

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

= p + q × \(\frac{uw}{pw + qu}\)

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

Sani Abdulkadir

Final answer =1 because, uw(p+q)/(pw+qu) = uw(p+q)/uw(p+q) =1.