Multiple choice

Passage

Directions: Read the following information carefully and answer the question that follows. A driver has trucks X and Y. Truck X is used for intrastate tours and truck Y is used for interstate tours. The mileage of truck X is 9 km/litre and of truck Y is 11 km/litre. The price of diesel is Rs. 65/litre. For every intrastate tour, he has to go through 2 tolls and for every interstate tour, he has to go through 5 tolls during 1 side of the tour. Truck X has 75 litre diesel tank and truck Y has 90 litre diesel tank.

The driver went on an interstate tour and the average speed of the truck during the tour was 44 km/hr. If the driver completed the tour in 112 hours, then how many times he had to fill the diesel tank?

  1. 4

  2. 5

  3. 6

  4. 7

  5. 8
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The tour is interstate, so truck Y is used. Mileage = 11 km/l. Tank capacity = 90 l. Total distance = speed * time = 44 * 112 = 4932.8 km. Total fuel needed = 4932.8 / 11 = 448.43 liters. Number of refills = (448.43 / 90) - 1 (assuming it starts full) = 4.98, which is 5 refills.

AI explanation

Using the formula Distance equals Speed multiplied by Time, the total distance of the interstate tour is 44 km/hr multiplied by 112 hours equals 4928 km. The fuel consumption is 4928 km divided by the mileage of 11 km/litre, giving 448 litres of diesel needed. Truck Y has a 90 litre tank, so the number of refills required is 448 divided by 90, which is approximately 4.97. Since the driver needs a fifth tank to complete the journey, he had to fill the diesel tank 5 times.

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