The ratio of speeds of P and Q is 2 : 3. Q covers a distance of 360 km in 3 hours. What is the speed of P?
80 km/h
80 km/h is correct.
Speed is distance divided by time, and when two speeds are in a given ratio, either speed is the other scaled by that ratio.
Speed of Q \(= \dfrac{360}{3} = 120\) km/h.
Speeds are in the ratio \(P : Q = 2 : 3\), so speed of P \(= 120 \times \dfrac{2}{3}\).
\(120 \times \dfrac{2}{3} = 80\), so P travels at 80 km/h.
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