Question

P,Q and R are three cities. The ratio of average temperature b/w P and Q is 11:12 and that b/w P and R is 9:8. The ratio b/w the average temperature of Q and R is???

Answer 1

P /Q = 11 / 12        P / R = 9 / 8

Q / R =   P/R  /   P/Q    =  9/8  /  11/12  = 9*12 / 8*11  = 27/22 

Q : R  = 27 : 22

Answer 2

Answer:

The ratio of Q: R is equal to 27/22

Solution:

Given, the ratio of the average temperature of P and Q be 11: 12 and P and R as 9: 8 .  

i.e.,

$\frac { P } { Q } = \frac { 11 } { 12 }$

And,

$\frac { P } { R } = \frac { 9 } { 8 }$

Now, we need to calculate the ratio of Q: R

Now,  

$\frac { Q } { R } = \frac { Q } { P } \times \frac { P } { R }$

Substituting the values of the ratios in the above equation, we get,

$\begin{array} { c } { \frac { Q } { R } = \frac { 12 } { 11 } \times \frac { 9 } { 8 } } \\\\ { \frac { Q } { R } = \frac { 3 \times 9 } { 11 \times 2 } } \\\\ { \frac { Q } { R } = \frac { 27 } { 22 } } \end{array}$

Thus, the ratio of Q: R will be equal to 27/22