In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:	Choose the correct choice from the following options:
A) 3 B) 7 C) 8 D) 6 E) 0
A : B = 100 : 90.   A : C = 100 : 87.   \inline \fn_jvn {\color{Black}\therefore \frac{B}{C}=\left ( \frac{B}{A} \times \frac{A}{C}\right )=\left ( \frac{90}{100}\times \frac{100}{87} \right )=\frac{30}{29}}   When B runs 30 m, C runs 29 m.   When B runs 180 m, C runs \inline \fn_jvn {\color{Black}\left ( \frac{29}{30} \times 180\right )m}=174m   \inline \fn_jvn {\color{Blue}\therefore } B beats C by   (180 - 174)= 
<gadget id="calculator">  (180 - 174)</gadget>
<output>6</output>
6 m.   Answer: 6) 6m
<result>D</result>
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by: