A and B run a 1 km race. If A gives B a start of 50m, A wins by 14 seconds and if A gives B a start of 22 seconds, B wins by 20 meters. Find the time taken by A to run 1 km.
Choose the correct choice from the following.
A) 222  B) 100  C) 287  D) 2976  E) 111
To solve these type of questions, always keep in your mind that, the ratio of the speeds of two contestents never change.   A gives B a start of 50 m means, A runs 1000 m and B runs only 950. By the time A reaches the target, B has to take 22 seconds to reach the target.   ab=1000950−14b=9801000−22bab=1000950−14b=9801000−22b   50,000 -1100b = 46550 -686b   Solving we get b = 25/3   Now Assume A's speed = x   1000950−14(25/3)=x25/31000950−14(25/3)=x25/3   x = 10   So x takes   1000/10= 
<gadget id="calculator">  1000/10</gadget>
<output>100</output>
100 seconds.   Answer:100
<result>B</result>
A and B run a 1 km race. If A gives B a start of 50m, A wins by 14 seconds and if A gives B a start of 22 seconds, B wins by 20 meters. Find the time taken by A to run 1 km.