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The engine of a bus follows certain mileage characteristics in a speed limit of 25 km/hr to 80 km/hr. The bus can travel a distance of 15 km in one litre of petrol while travelling at 50 km/hr. From this point onwards for every increase of 5 km/hr in the speed of the bus the mileage is increased by 1 km per litre. Similarly for every decrease of 5 kmph in the speed of the car the mileage is decreased by 1 km per litre. Assume that the bus travels in this speed limit only. Krishna has filled exactly 10 litres of petrol in his bus. He drives at a speed of 45 kmph for first two hours. What is maximum distance that he can cover with the remaining quantity of petrol before his tank empties?

The engine of a bus follows certain mileage characteristics in a speed limit of 25 km/hr to 80 km/hr. The bus can travel a distance of 15 km in one litre of petrol while travelling at 50 km/hr. From this point onwards for every increase of 5 km/hr in the speed of the bus the mileage is increased by 1 km per litre. Similarly for every decrease of 5 kmph in the speed of the car the mileage is decreased by 1 km per litre. Assume that the bus travels in this speed limit only. Krishna has filled exactly 10 litres of petrol in his bus. He drives at a speed of 45 kmph for first two hours. What is maximum distance that he can cover with the remaining quantity of petrol before his tank empties? Correct Answer 75 km

Given:

For every increase of 5 kmph speed = milage increased by 1 km/L

For every decrease of 5 kmph speed = mileage decreased by 1 km/L

The initial quantity of petrol in the bus = 10L

Speed for first 2 hours = 45 km/hr

Calculation:

In the first two kilometre, he travels = 45 × 2 = 90 km

Since speed is 45 kmph, current mileage = 15 - 1 = 14 km/L

Petrol consumed = 90/14 litres

Petrol left = (10 – 90/14) = 50/14 litres

To travel a maximum distance, he should drive at a speed of 80 kmph.

When speed is 80 kmph, increase in mileage = 30 km/5 = 6 km

Net mileage for 80 kmph = = 21 km per litre.

Distance covered with new mileage using (50/14)L petrol = (50/14) × 21 = 75 km

∴ He can go 75 km.

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