In a 1000 m race, A beats B by 90 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Options
A) 145 m	B) 176 m	C) 181 m	D) 159 m	E) 218 m
By the time A covers 1000 m, B covers  (1000 - 90)= 
<gadget id="calculator"> (1000 - 90)</gadget>
<output>910</output>
910 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=   1000/910 * 1000/900 = 1000/819 So, by the time A covers 1000 m, C covers 819 m.   So in 1000 m race A beats C by 1000 - 819= 
<gadget id="calculator">1000 - 819</gadget>
<output>181</output>
181 m.   Answer:181 m
<result>C</result>
In a 1000 m race, A beats B by 90 m and B beats C by 100 m. In the same race, by how many meters does A beat C?