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A car travels from calabar to Enugu, a distance of P km w...

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.

(p+q)pw+qu

B.

uw(p+q)pw+qu

C.

uw(p+q)pw

D.

uwpw+qu

Correct answer is B

Average speed = totalDistanceTotalTime

from Calabar to Enugu in time t1, hence

t1 = PU also from Enugu to Benin

t2 qw

Av. speed = p+qt1+t2=p+qpu+qw

= p + q x uwpw+qu

= uw(p+q)pw+qu