Multiple choice

The distance between two cities A and B is 1850 km. An Air India plane flies partly at 180 kmph and partly at 190 kmph. Time taken to reach B from A is 10 hours. Also, it gives a better mileage of 3 km per litre at 180 kmph than at 190 kmph. What volume of fuel does the plane consume when flying the distance at 190 kmph if it consumes 48 litres while flying at 180 kmph?

  1. 48.41 litres

  2. 60.32 litres

  3. 65.56 litres

  4. 86.2 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let d1 be distance at 180 kmph, d2 at 190 kmph. d1/180 + d2/190 = 10 and d1 + d2 = 1850. Solving gives d1 = 900 km, d2 = 950 km. Fuel at 180 kmph = 900 / (mileage_x + 3) = 48. Mileage_x = 15.75. Mileage at 190 kmph = 15.75. Fuel = 950 / 15.75 = 60.32.

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