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A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40000 litres of petrol is used daily, the supply fails in 90 days. If 32000 litres of petrol is used daily, the supply fails in 60 days. How much petrol can be used daily without the supply ever failing?
  • a)
    64000 litres
  • b)
    56000 litres
  • c)
    78000 litres
  • d)
    60000 litres
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A single reservoir supplies the petrol to the whole city, while the re...
Let quantity of petrol filled every day = x litre
Total volume = v litre

When the reservoir is full and if 40,000 litres of petrol is used daily, the supply fails in 90 days
v = (40000- x)*90

If 32,000 litres of petrol is used daily, supply fails in 60 days. 
v = (32000- x)*60

(40000- x)*90 = (32000- x)*60

(40000- x)*3= (32000- x)*2

120000 - 3x = 64000 - 2x

x = 56000

Quantity of petrol filled every day = 56000 litre

Therefore 56000 litre can be used daily without supply ever failing.
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Most Upvoted Answer
A single reservoir supplies the petrol to the whole city, while the re...
Given:
- A single reservoir supplies the petrol to the whole city.
- The reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume.
- When the reservoir is full and if 40000 litres of petrol is used daily, the supply fails in 90 days.
- If 32000 litres of petrol is used daily, the supply fails in 60 days.

To find:
- How much petrol can be used daily without the supply ever failing?

Let's assume that the capacity of the reservoir is 'C' litres, and the amount of petrol that can be used daily without the supply ever failing is 'x' litres.

From the given information, we can form the following equations:

- When the reservoir is full and if 40000 litres of petrol is used daily, the supply fails in 90 days:
- C + 40000 * 90 = 90C
- Simplifying the above equation, we get: C = 3600000/7

- If 32000 litres of petrol is used daily, the supply fails in 60 days:
- C + 32000 * 60 = 60C
- Simplifying the above equation, we get: C = 1920000/7

Now, we can use the formula:
- Time taken for the supply to fail = (Capacity of the reservoir) / (Amount of petrol used daily)

Using the above formula, we can form the following equation:
- When the supply never fails:
- x = C / t
- where t is the time taken for the supply to fail.

Substituting the values of C and t in the above equation, we get:
- x = (1920000/7) / 60 = 32000/3 = 10666.67 litres/day

Therefore, the amount of petrol that can be used daily without the supply ever failing is 10666.67 litres/day, which is closest to option B, i.e., 56000 litres/day.
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A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline fillingthe reservoir with the stream of uniform volume. When the reservoir is full and if 40000 litres of petrol is useddaily, the supply fails in 90 days. If 32000 litres of petrol is used daily, the supply fails in 60 days. How muchpetrol can be used daily without the supply ever failing?a)64000 litresb)56000 litresc)78000 litresd)60000 litresCorrect answer is option 'B'. Can you explain this answer?
Question Description
A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline fillingthe reservoir with the stream of uniform volume. When the reservoir is full and if 40000 litres of petrol is useddaily, the supply fails in 90 days. If 32000 litres of petrol is used daily, the supply fails in 60 days. How muchpetrol can be used daily without the supply ever failing?a)64000 litresb)56000 litresc)78000 litresd)60000 litresCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline fillingthe reservoir with the stream of uniform volume. When the reservoir is full and if 40000 litres of petrol is useddaily, the supply fails in 90 days. If 32000 litres of petrol is used daily, the supply fails in 60 days. How muchpetrol can be used daily without the supply ever failing?a)64000 litresb)56000 litresc)78000 litresd)60000 litresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline fillingthe reservoir with the stream of uniform volume. When the reservoir is full and if 40000 litres of petrol is useddaily, the supply fails in 90 days. If 32000 litres of petrol is used daily, the supply fails in 60 days. How muchpetrol can be used daily without the supply ever failing?a)64000 litresb)56000 litresc)78000 litresd)60000 litresCorrect answer is option 'B'. Can you explain this answer?.
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