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A truck travelling at 70 km/hr uses 30% more petrol to travel a certain distance than it does when it travels at 50 km/hr. If the truck can travel 19.5 km on a gallon of petrol at 50 km/hr, how far can the truck travel on 10 gallons of petrol at the speed of 70 km/hr?
  • a)
    195 km
  • b)
    150 km
  • c)
    140 km
  • d)
    175 km
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A truck travelling at 70 km/hr uses 30% more petrol to travel a certai...
The vehicle travels 19.5 km/L at the rate of 50 km/hr.
So it should travel 19.5/1.3 km/L at the rate of 70 km/hr
= 15 km/L.
The distance covered at 70 km/hr with 10 L
= 10 × 15 = 150 km
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Most Upvoted Answer
A truck travelling at 70 km/hr uses 30% more petrol to travel a certai...
Given Information:


  • Truck travels at 50 km/hr and can travel 19.5 km on a gallon of petrol.

  • Truck travels at 70 km/hr and uses 30% more petrol to travel the same distance.



Calculation:

Let's assume that the truck can travel x km on 10 gallons of petrol at a speed of 70 km/hr.

At 50 km/hr, the truck can travel 19.5 km on a gallon of petrol. Therefore, at 50 km/hr, the truck will consume 10/19.5 gallons of petrol to travel x km.

At 70 km/hr, the truck uses 30% more petrol. So, it will consume 1.3 times the amount of petrol used at 50 km/hr.

Thus, at 70 km/hr, the truck will consume 1.3 * (10/19.5) gallons of petrol to travel x km.

Therefore, we can write the equation:

1.3 * (10/19.5) = x/10

Simplifying the equation:

13/19.5 = x/10

13 * 10 = 19.5x

130 = 19.5x

x = 130/19.5

x = 6.67


Answer:

The truck can travel approximately 6.67 km on 10 gallons of petrol at the speed of 70 km/hr. Therefore, the correct answer is option B) 150 km.
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A truck travelling at 70 km/hr uses 30% more petrol to travel a certain distance than it does when it travels at 50 km/hr. If the truck can travel 19.5 km on a gallon of petrol at 50 km/hr, how far can the truck travel on 10 gallons of petrol at the speed of 70 km/hr?a)195 kmb)150 kmc)140 kmd)175 kmCorrect answer is option 'B'. Can you explain this answer?
Question Description
A truck travelling at 70 km/hr uses 30% more petrol to travel a certain distance than it does when it travels at 50 km/hr. If the truck can travel 19.5 km on a gallon of petrol at 50 km/hr, how far can the truck travel on 10 gallons of petrol at the speed of 70 km/hr?a)195 kmb)150 kmc)140 kmd)175 kmCorrect answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A truck travelling at 70 km/hr uses 30% more petrol to travel a certain distance than it does when it travels at 50 km/hr. If the truck can travel 19.5 km on a gallon of petrol at 50 km/hr, how far can the truck travel on 10 gallons of petrol at the speed of 70 km/hr?a)195 kmb)150 kmc)140 kmd)175 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A truck travelling at 70 km/hr uses 30% more petrol to travel a certain distance than it does when it travels at 50 km/hr. If the truck can travel 19.5 km on a gallon of petrol at 50 km/hr, how far can the truck travel on 10 gallons of petrol at the speed of 70 km/hr?a)195 kmb)150 kmc)140 kmd)175 kmCorrect answer is option 'B'. Can you explain this answer?.
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