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A car travels from calabar to Enugu, a distance of P km with an average...

Mathematics
JAMB 2021

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

  • A. \(\frac{(p + q)}{pw + qu}\)
  • B. \(\frac{uw(p + q)}{pw + qu}\)
  • C. \(\frac{uw(p + q)}{pw}\)
  • D. \(\frac{uw}{pw + qu}\)
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Correct Answer: Option B
Explanation

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

from Calabar to Enugu in time t1, hence

t1 = \(\frac{P}{U}\)

Also from Enugu to Benin

t2 \(\frac{q}{w}\)

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

= \(\frac{p + q}{p/u + q/w}\)

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

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

There is an explanation video available below.


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Explanation Video

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JAMB CBT Mobile App 2025 - Free Download
JAMB CBT Software 2025 - Free Download
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
JAMB CBT Software 2025 - Free Download
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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