Question

The given figure shows the distance between 4 different cities.


What is the distance between city C and city D?

• A. $\frac{25}{12}km$
• B. $\frac{22}{12}km$
• C. $\frac{18}{12}km$
• D. $\frac{14}{12}km$

Answer 1

The correct option is A $\frac{25}{12}km$

Distance between cities A and D = $3km$

Distance between cities A and B = $\frac{4}{12}km$

Distance between cities B and C = $\frac{7}{12}km$

Calculate the distance between cities C and D.

So, let's add the distance between cities A and C
$=(\frac{4}{12}+\frac{7}{12})km$

As the denominators of the fractions are same, the numerators can be added directly and the denominator remains same.

$=\frac{4+7}{12}$ (like fractions)

$=\frac{11}{12}km$

To find the distance between cities C and D, subtract $\frac{11}{12}$ from $3$.

Now, make an equivalent fraction of 3 with denominator 12.

Distance between cities C and D = $=(\frac{36}{12}-\frac{11}{12})km$

As the denominators of the fractions are same, so the numerators can be subtracted directly and denominator remains same.

$=\frac{36-11}{12}$ (like fractions)

$=\frac{25}{12}km$

Hence, the distance between cities C and D is $\frac{25}{12}km$.