In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?  Answers
A) 156 m  B) 140 m  C) 145 m  D) 169 m  E) 172 m
C   145 m   By the time A covers 1000 m, B covers  (1000 - 50)= 
<gadget id="calculator"> (1000 - 50)</gadget>
<output>950</output>
950 m.   By the time B covers 1000 m, C covers  (1000 - 100)= 
<gadget id="calculator"> (1000 - 100)</gadget>
<output>900</output>
900 m.   So, the ratio of speeds of A and C=   1000/950 * 1000/900 = 1000/855 So, by the time A covers 1000 m, C covers 855 m.   So in 1000 m race A beats 145 m by 1000 - 855= 
<gadget id="calculator">1000 - 855</gadget>
<output>145</output>
145 m.
<result>C</result>
In a 1000 m race, A beats B by 50 m and B beats C by 100 m. In the same race, by how many meters does A beat C?