A car goes 15 miles on a gallon of octane when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour, it only goes 80% as far. How many gallons of octane is needed to travel 200 miles if half the distance is traveled at 50 miles per hour and the rest at 60 miles per hour?

A car goes 15 miles on a gallon of octane when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour, it only goes 80% as far. How many gallons of octane is needed to travel 200 miles if half the distance is traveled at 50 miles per hour and the rest at 60 miles per hour? Correct Answer 15

A car goes 15 km with a gallon of octane at 50 km/hr. Again, If travels with 60 km/hr, it goes 80% far as that of before. i.e. D = 80%×15 = 12 km. Now, According to question, if 100 km is travelled in 50 km/hr and another 100 km in 60 km/hr then, In 50 km/hr: 1 gallon = 15 km In 60 km/hr: 1 gallon = 12 km Hence, Total required gallons of octane is; 100/15 + 100/12 = 15 gallons.

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.