Multiple choice

In a city, there are three types of vehicles: cars, motorcycles, and bicycles. The total number of vehicles is 510. The ratio of cars to motorcycles is 3 : 5, and the ratio of motorcycles to bicycles is 2 : 7. If 40% of the cars, 25% of the motorcycles, and 16% of the bicycles are electric vehicles and run with an average speed of 30 km/h, and the remaining vehicles are conventional and run with average speeds of 60 km/h (cars), 80 km/h (motorcycles), and 20 km/h (bicycles), what is the total distance covered by all vehicles in one hour?

  1. 17,190 km

  2. 15,670 km

  3. 12,865 km

  4. 8,970 km

  5. a
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A Correct answer
Explanation

Total vehicles = 510. Ratios: C:M = 3:5, M:B = 2:7. C:M:B = 6:10:35. Total parts = 51. Each part = 10. Cars = 60, Motorcycles = 100, Bicycles = 350. Electric: 0.4*60=24, 0.25*100=25, 0.16*350=56. Conventional: 36, 75, 294. Distance = (24+25+56)*30 + (36*60 + 75*80 + 294*20) = 105*30 + 2160 + 6000 + 5880 = 3150 + 14040 = 17190.

AI explanation

Using the given ratios, the combined ratio of cars to motorcycles to bicycles is 6 : 10 : 35, yielding 60 cars, 100 motorcycles, and 350 bicycles. The distance covered by the electric vehicles is (24 + 25 + 56) multiplied by 30, totaling 3150 km. The distance covered by the conventional vehicles is (36 multiplied by 60) plus (75 multiplied by 80) plus (294 multiplied by 20), totaling 14,040 km. Adding these two distances gives a total of 17,190 km.

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