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
\(\frac{uw}{pw + qu}\)
Explanation
Correct Option
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Discussions (3)
Aleemahoye
10 months ago
it is quite simple:
since average speed is equals to total distance/total time
We have the total distance as P+Q, but we don't have the total time
To find t¹= d¹/v¹=P/U
Tofind t²= d²/v²=Q/W
From average speed(AV) = total distance/total time
AV=(P+Q)/((P/Q)+(Q/V))
find the LCM of the denominator
AV=(P+Q)/((PW+QU)/UW)
the rest of the solution is shown below
