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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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