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Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles become 2 : 1?
- a)48 minutes
- b)1 hour 36 min
- c)36 minutes
- d)60 minutes
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two candles of the same height are lighted at the same time. The first...
Let the height of each candle = 1 unit
Most Upvoted Answer
Two candles of the same height are lighted at the same time. The first...
Given information:
- Two candles of the same height are lighted at the same time.
- The first is consumed in 3 hours and the second in 1 hour.
- Each candle burns at a constant rate.
- We need to find out in how many hours after being lighted, the ratio between the first and second candles become 2 : 1.
Approach:
Let's assume that the initial height of each candle is H units.
Let's also assume that the rate of burning of the first candle is R1 units/hour and the rate of burning of the second candle is R2 units/hour.
Using the given information, we can write the following equations:
- H - R1 * 3 = 0 (since the first candle is consumed in 3 hours)
- H - R2 * 1 = 0 (since the second candle is consumed in 1 hour)
We can solve these equations to get the values of R1 and R2:
- R1 = H/3
- R2 = H/1 = H
Let's assume that after t hours, the height of the first candle is h1 units and the height of the second candle is h2 units.
Using the rates of burning, we can write the following equations:
- h1 = H - R1 * t
- h2 = H - R2 * t
We need to find out the value of t when h1/h2 = 2/1.
Substituting the values of R1, R2, h1, and h2 in the equation h1/h2 = 2/1, we get:
- (H - H/3 * t)/(H - H * t) = 2/1
- Solving this equation, we get t = 36 minutes.
Therefore, the correct answer is option C: 36 minutes.
- Two candles of the same height are lighted at the same time.
- The first is consumed in 3 hours and the second in 1 hour.
- Each candle burns at a constant rate.
- We need to find out in how many hours after being lighted, the ratio between the first and second candles become 2 : 1.
Approach:
Let's assume that the initial height of each candle is H units.
Let's also assume that the rate of burning of the first candle is R1 units/hour and the rate of burning of the second candle is R2 units/hour.
Using the given information, we can write the following equations:
- H - R1 * 3 = 0 (since the first candle is consumed in 3 hours)
- H - R2 * 1 = 0 (since the second candle is consumed in 1 hour)
We can solve these equations to get the values of R1 and R2:
- R1 = H/3
- R2 = H/1 = H
Let's assume that after t hours, the height of the first candle is h1 units and the height of the second candle is h2 units.
Using the rates of burning, we can write the following equations:
- h1 = H - R1 * t
- h2 = H - R2 * t
We need to find out the value of t when h1/h2 = 2/1.
Substituting the values of R1, R2, h1, and h2 in the equation h1/h2 = 2/1, we get:
- (H - H/3 * t)/(H - H * t) = 2/1
- Solving this equation, we get t = 36 minutes.
Therefore, the correct answer is option C: 36 minutes.
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Two candles of the same height are lighted at the same time. The first...
Let the height of each candle = 1 unit
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Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles become 2 : 1?a)48 minutesb)1 hour 36 minc)36 minutesd)60 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles become 2 : 1?a)48 minutesb)1 hour 36 minc)36 minutesd)60 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles become 2 : 1?a)48 minutesb)1 hour 36 minc)36 minutesd)60 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles become 2 : 1?a)48 minutesb)1 hour 36 minc)36 minutesd)60 minutese)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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