In a 1000 m race, A beats B by 10 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) A)109m  B) B)829m  C) C)822m  D) D)929m  E) E)132mj
By the time A covers 1000 m, B covers  (1000 - 10)= 
<gadget id="calculator"> (1000 - 10)</gadget>
<output>990</output>
990 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=   1000/990 * 1000/900 = 1000/891 So, by the time A covers 1000 m, C covers 891 m.   So in 1000 m race A beats C by 1000 - 891= 
<gadget id="calculator">1000 - 891</gadget>
<output>109</output>
109 m.   109mnswer:109m
<result>A</result>
In a 1000 m race, A beats B by 10 m and B beats C by 100 m. In the same race, by how many meters does A beat C?