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A distance is covered at a certain speed in a certain time. If the double of this distance is covered in four times the time, then what is the ratio of the two speeds?
- a)1.5 : 0.7
- b)1 : 1.9
- c)4 : 2
- d)6 : 1
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A distance is covered at a certain speed in a certain time. If the dou...
Given:
A distance is covered at a certain speed in a certain time.
Double of this distance is covered in four times the time.
Let's assume:
Let the initial distance be D, initial speed be S, and initial time be T.
Calculations:
- Speed = Distance / Time
- Initial speed, S = D / T
- Double of the initial distance = 2D
- Time taken to cover double of the initial distance = 4T
- New speed = 2D / 4T = D / 2T
Ratio of the two speeds:
S / (D / 2T) = 2ST / D
Comparison:
Initial speed ratio = 1:1
New speed ratio = 2:1
Final Answer:
The ratio of the two speeds is 2:1, which simplifies to 4:2. Therefore, the correct answer is option 'C' - 4:2.
A distance is covered at a certain speed in a certain time.
Double of this distance is covered in four times the time.
Let's assume:
Let the initial distance be D, initial speed be S, and initial time be T.
Calculations:
- Speed = Distance / Time
- Initial speed, S = D / T
- Double of the initial distance = 2D
- Time taken to cover double of the initial distance = 4T
- New speed = 2D / 4T = D / 2T
Ratio of the two speeds:
S / (D / 2T) = 2ST / D
Comparison:
Initial speed ratio = 1:1
New speed ratio = 2:1
Final Answer:
The ratio of the two speeds is 2:1, which simplifies to 4:2. Therefore, the correct answer is option 'C' - 4:2.
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Community Answer
A distance is covered at a certain speed in a certain time. If the dou...
Case I : Distance D Speed S1 Time D/S1
Case II : Distance 2D Speed S2 Time 4(D/S1)
=> Speed for case II = S2 = Distance/Time = 2D/(4D/S1) = S1/22/(4/1) = 1/2
Hence, speed for case I : speed for case II = S1:S2 = 1:1/2 = 2:1 => Option C is correct.
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A distance is covered at a certain speed in a certain time. If the double of this distance is covered in four times the time, then what is the ratio of the two speeds?a)1.5 : 0.7b)1 : 1.9c)4 : 2d)6 : 1Correct answer is option 'C'. Can you explain this answer?
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A distance is covered at a certain speed in a certain time. If the double of this distance is covered in four times the time, then what is the ratio of the two speeds?a)1.5 : 0.7b)1 : 1.9c)4 : 2d)6 : 1Correct answer is option 'C'. 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 distance is covered at a certain speed in a certain time. If the double of this distance is covered in four times the time, then what is the ratio of the two speeds?a)1.5 : 0.7b)1 : 1.9c)4 : 2d)6 : 1Correct answer is option 'C'. 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 distance is covered at a certain speed in a certain time. If the double of this distance is covered in four times the time, then what is the ratio of the two speeds?a)1.5 : 0.7b)1 : 1.9c)4 : 2d)6 : 1Correct answer is option 'C'. Can you explain this answer?.
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