In a 1000 m race, A beats B by 40 m and B beats C by 100 m. In the same race, by how many meters does A beat C?  Choose the correct answer:
A) 145 m B) 136 m C) 268 m D) 129 m E) 218 m
By the time A covers 1000 m, B covers  (1000 - 40)= 
<gadget id="calculator"> (1000 - 40)</gadget>
<output>960</output>
960 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=   1000/960 * 1000/900 = 1000/864. So, by the time A covers 1000 m, C covers 864 m.   So in 1000 m race A beats C by 1000 - 864= 
<gadget id="calculator">1000 - 864</gadget>
<output>136</output>
136 m.   Answer:136 m
<result>B</result>
In a 1000 m race, A beats B by 40 m and B beats C by 100 m. In the same race, by how many meters does A beat C?