In a 1000 m race, A beats B by 80 m and B beats C by 100 m. In the same race, by how many meters does A beat C?	Choose the correct choice from the following options:
A) 145 m	B) 172 m	C) 268 m	D) 129 m	E) 218 m
By the time A covers 1000 m, B covers  (1000 - 80)= 
<gadget id="calculator"> (1000 - 80)</gadget>
<output>920</output>
920 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=   1000/920 * 1000/900 = 1000/828 So, by the time A covers 1000 m, C covers 828 m.   So in 1000 m race A beats C by 1000 - 828= 
<gadget id="calculator">1000 - 828</gadget>
<output>172</output>
172 m.   Answer:172 m
<result>B</result>
In a 1000 m race, A beats B by 80 m and B beats C by 100 m. In the same race, by how many meters does A beat C?