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P , Q , R are three cities. The ratio of average temperature between P and Q is eleven: fifteen and that of P and R is nine: eight. Find the ratio of average temperature between Q and R ?
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P , Q , R are three cities. The ratio of average temperature between ...
Problem:
Find the ratio of average temperature between Q and R, given that the ratio of average temperature between P and Q is 11:15 and that of P and R is 9:8.
Solution:
Let the average temperature of P, Q, and R be denoted by Tp, Tq, and Tr, respectively.
Given that the ratio of average temperature between P and Q is 11:15, we can write:
Tp/Tq = 11/15
Cross-multiplying, we get:
15Tp = 11Tq
Similarly, given that the ratio of average temperature between P and R is 9:8, we can write:
Tp/Tr = 9/8
Cross-multiplying, we get:
8Tp = 9Tr
Now, we need to find the ratio of Tq to Tr. To do this, we can use the above two equations to eliminate Tp and express Tq in terms of Tr:
15Tp = 11Tq
=> Tq = (15/11)Tp
8Tp = 9Tr
=> Tp = (9/8)Tr
Substituting the value of Tp in terms of Tr in the first equation, we get:
Tq = (15/11) * (9/8) * Tr
Simplifying, we get:
Tq = (135/88)Tr
Therefore, the ratio of average temperature between Q and R is:
Tq/Tr = (135/88):1
Answer:
The ratio of average temperature between Q and R is 135:88.
Find the ratio of average temperature between Q and R, given that the ratio of average temperature between P and Q is 11:15 and that of P and R is 9:8.
Solution:
Let the average temperature of P, Q, and R be denoted by Tp, Tq, and Tr, respectively.
Given that the ratio of average temperature between P and Q is 11:15, we can write:
Tp/Tq = 11/15
Cross-multiplying, we get:
15Tp = 11Tq
Similarly, given that the ratio of average temperature between P and R is 9:8, we can write:
Tp/Tr = 9/8
Cross-multiplying, we get:
8Tp = 9Tr
Now, we need to find the ratio of Tq to Tr. To do this, we can use the above two equations to eliminate Tp and express Tq in terms of Tr:
15Tp = 11Tq
=> Tq = (15/11)Tp
8Tp = 9Tr
=> Tp = (9/8)Tr
Substituting the value of Tp in terms of Tr in the first equation, we get:
Tq = (15/11) * (9/8) * Tr
Simplifying, we get:
Tq = (135/88)Tr
Therefore, the ratio of average temperature between Q and R is:
Tq/Tr = (135/88):1
Answer:
The ratio of average temperature between Q and R is 135:88.
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P , Q , R are three cities. The ratio of average temperature between P and Q is eleven: fifteen and that of P and R is nine: eight. Find the ratio of average temperature between Q and R ? Related: Ratio and Proportion, Indices, Logarithms (Part - 1)?
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P , Q , R are three cities. The ratio of average temperature between P and Q is eleven: fifteen and that of P and R is nine: eight. Find the ratio of average temperature between Q and R ? Related: Ratio and Proportion, Indices, Logarithms (Part - 1)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about P , Q , R are three cities. The ratio of average temperature between P and Q is eleven: fifteen and that of P and R is nine: eight. Find the ratio of average temperature between Q and R ? Related: Ratio and Proportion, Indices, Logarithms (Part - 1)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P , Q , R are three cities. The ratio of average temperature between P and Q is eleven: fifteen and that of P and R is nine: eight. Find the ratio of average temperature between Q and R ? Related: Ratio and Proportion, Indices, Logarithms (Part - 1)?.
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