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? Pick:  A) 145  B) 266  C) 276  D) 027  E) 266
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 C by 1000 - 855= 
<gadget id="calculator">1000 - 855</gadget>
<output>145</output>
145 m.   145nswer: 145
<result>A</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?