In a 1000 m race, A beats B by 70 m and B beats C by 100 m. In the same race, by how many meters does A beat C?
Select the correct option
A) 145 m	B) 176 m	C) 168 m	D) 163 m	E) 218 m
By the time A covers 1000 m, B covers  (1000 - 70)= 
<gadget id="calculator"> (1000 - 70)</gadget>
<output>930</output>
930 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=   1000/930 * 1000/900 = 1000/837 So, by the time A covers 1000 m, C covers 837 m.   So in 1000 m race A beats C by 1000 - 837= 
<gadget id="calculator">1000 - 837</gadget>
<output>163</output>
163 m.   Answer:163 m
<result>D</result>
In a 1000 m race, A beats B by 70 m and B beats C by 100 m. In the same race, by how many meters does A beat C?