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The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. What is the ratio of the time taken by P, Q and R respectively to cover the same distance?
- a)10 : 12 : 15
- b)15 : 12 : 10
- c)6 : 5 : 4
- d)4 : 5 : 6
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. Wha...
For same distance,
Time is inversely proportional to velocity.
Ratio of time taken = 1/10 : 1/12 : 1/15 = 6 : 5 : 4
Time is inversely proportional to velocity.
Ratio of time taken = 1/10 : 1/12 : 1/15 = 6 : 5 : 4
Most Upvoted Answer
The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. Wha...
Given: The ratio of the speed of P, Q, and R is 10:12:15 respectively.
To find: The ratio of the time taken by P, Q, and R respectively to cover the same distance.
Solution:
Let us assume the distance to be covered by all three be 'd'.
Let the speed of P, Q, and R be 10x, 12x, and 15x respectively.
We know that,
Speed = Distance/Time
Therefore,
Time taken by P to cover distance 'd' = d/10x
Time taken by Q to cover distance 'd' = d/12x
Time taken by R to cover distance 'd' = d/15x
Now, let's simplify the above equations,
Time taken by P to cover distance 'd' = d/10x
Time taken by Q to cover distance 'd' = d/12x
Time taken by R to cover distance 'd' = d/15x
Taking LCM of 10x, 12x, and 15x, we get,
Time taken by P to cover distance 'd' = 9d/90x = d/10x
Time taken by Q to cover distance 'd' = 7.5d/90x = d/12x
Time taken by R to cover distance 'd' = 6d/90x = d/15x
Thus, the ratio of time taken by P, Q, and R respectively to cover the same distance is:
d/10x : d/12x : d/15x
Simplifying further, we get the ratio as:
6 : 5 : 4
Therefore, the correct option is (c) 6:5:4.
To find: The ratio of the time taken by P, Q, and R respectively to cover the same distance.
Solution:
Let us assume the distance to be covered by all three be 'd'.
Let the speed of P, Q, and R be 10x, 12x, and 15x respectively.
We know that,
Speed = Distance/Time
Therefore,
Time taken by P to cover distance 'd' = d/10x
Time taken by Q to cover distance 'd' = d/12x
Time taken by R to cover distance 'd' = d/15x
Now, let's simplify the above equations,
Time taken by P to cover distance 'd' = d/10x
Time taken by Q to cover distance 'd' = d/12x
Time taken by R to cover distance 'd' = d/15x
Taking LCM of 10x, 12x, and 15x, we get,
Time taken by P to cover distance 'd' = 9d/90x = d/10x
Time taken by Q to cover distance 'd' = 7.5d/90x = d/12x
Time taken by R to cover distance 'd' = 6d/90x = d/15x
Thus, the ratio of time taken by P, Q, and R respectively to cover the same distance is:
d/10x : d/12x : d/15x
Simplifying further, we get the ratio as:
6 : 5 : 4
Therefore, the correct option is (c) 6:5:4.
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The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. What is the ratio of the time taken by P, Q and R respectively to cover the same distance?a)10 : 12 : 15b)15 : 12 : 10c)6 : 5 : 4d)4 : 5 : 6Correct answer is option 'C'. Can you explain this answer?
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The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. What is the ratio of the time taken by P, Q and R respectively to cover the same distance?a)10 : 12 : 15b)15 : 12 : 10c)6 : 5 : 4d)4 : 5 : 6Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. What is the ratio of the time taken by P, Q and R respectively to cover the same distance?a)10 : 12 : 15b)15 : 12 : 10c)6 : 5 : 4d)4 : 5 : 6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the speed of P, Q and R is 10 : 12 : 15 respectively. What is the ratio of the time taken by P, Q and R respectively to cover the same distance?a)10 : 12 : 15b)15 : 12 : 10c)6 : 5 : 4d)4 : 5 : 6Correct answer is option 'C'. Can you explain this answer?.
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