A vehicle with mileage 15 km per litre contains 2 L of fuel . The vehicle gets some defect as a result of which 5 L of fuel gets wasted per hour when the engine is on. With what minimum speed the vehicle has to move to travel 20 km with the existing amoun

examrobotsa's picture

Submitted by examrobotsa on

Q: 17 (CAPF/2016)
A vehicle with mileage 15 km per litre contains 2 L of fuel . The vehicle gets some defect as a result of which 5 L of fuel gets wasted per hour when the engine is on. With what minimum speed the vehicle has to move to travel 20 km with the existing amount of fuel, if it travels with a uniform speed?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,11,18,6,9,11,3

keywords: 

{'minimum speed': [0, 0, 0, 1], 'uniform speed': [0, 0, 1, 5], 'mileage': [0, 0, 0, 1], 'litre': [2, 1, 1, 4], 'km': [0, 0, 2, 1], 'vehicle': [0, 0, 0, 5], 'fuel': [1, 0, 5, 14], 'engine': [0, 0, 2, 2], 'hour': [5, 5, 11, 12]}

To find the minimum speed at which the vehicle needs to move to travel 20 km with the existing amount of fuel, we need to consider the fuel consumption.

The vehicle has a mileage of 15 km per litre, which means it can travel 15 km with 1 litre of fuel. The vehicle currently has 2 litres of fuel. So, it can travel 15 km * 2 litres = 30 km with the existing fuel.

Given that the vehicle is wasting 5 litres of fuel per hour, we need to determine the time it takes to travel 20 km.

If the vehicle is traveling at the minimum speed, it will take 20 km / 150 km per hour = 0.133 hours or approximately 8 minutes to travel 20 km.

Within this time, the vehicle will waste 0.133 hours * 5 litres per hour = 0.665 litres of fuel.

Since the vehicle initially had 2 litres of fuel, it will have 2 litres - 0.665 litres = 1.335 litres of fuel remaining.

Therefore, the vehicle can travel 15 km * 1.335 litres ≈ 20 km with the remaining fuel.

Hence, the minimum speed at