A taxi travels at a constant speed of 75 km/h to cover a certain distance in 3 hours and 12 minutes. If road construction increases the time taken by 24 minutes, by what percentage must the taxi's average speed decrease to complete the journey?

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Accepted Answer

1. Initial time = 3 h 12 min = 3.2 h. Distance = $75	imes3.2=240$ km.
2. New time = $3.2+0.4=3.6$ h. New speed = $240/3.6=\frac{200}{3}\approx66.67\ 	ext{km/h}$.
3. Speed drop = $75-\frac{200}{3}=\frac{25}{3}$ km/h. Percentage decrease = $\dfrac{25/3}{75}	imes100\%=\dfrac{1}{9}	imes100\%=11.11\%$.
FINAL_ANSWER: b

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