P runs 25% faster than Q so P gives Q a twenty meter head start. If the race ends in a tie, how far (in meters) did P run in the race? Choose the correct choice from the following options
A) 90 B) 100 C) 110 D) 120 E) 130
Let D be the race distance that P ran.   Let T be the time it took to complete the race.   Let V be Q's speed.   T = D/1.25V = (D-20) / V   D=1.25D-25   0.25D=25   D=100 meters.   The answer is 100.
<result>B</result>
P runs 25% faster than Q so P gives Q a twenty meter head start. If the race ends in a tie, how far (in meters) did P run in the race?