SOLUTION: Alan is a faster runner than bill. Alan runs three yards every second and Bill runs 2.5 yards per second. Alan gives Bill a 35 yard head start in a race and reaches the finish line
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Question 1113691: Alan is a faster runner than bill. Alan runs three yards every second and Bill runs 2.5 yards per second. Alan gives Bill a 35 yard head start in a race and reaches the finish line exactly 2 seconds before bill. How many yards did allan run? Answer by ikleyn(52856) (Show Source):
Let L be the unknown distance (in yards).
Then the "time" equation is
= - 2.
Left side is Alan's time. Right side is the Bill's time minus 2 seconds.
Multiply both sides by 7.5. You will get
2.5L = 3*(L-35) - 15
2.5L = 3L - 105 - 15
2.5L = 3L - 120
120 = 3L - 2.5L
120 = 0.5L ====> L = = 240.
Answer. The distance is 240 yards.
