P runs 25% faster than Q so P gives Q a 60 meter head start.

P runs 25% faster than Q so P gives Q a 60 meter head start. If the race ends in a tie, how far (in meters) did P run in the race?

Quiz

Answer/Solution

300

Steps/Work

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-60) / V
D=1.25D-75
0.25D=75
D=300 meters.
The answer is C.

Gain Calculator / Auto Solver

P runs % faster than q so p gives q a meter head start. If the race ends in a tie, how far ( in meters ) did p run in the race?

Calculated Answer

300

Step by Step Solution

In order to solve problem, you must evaluate n1 + (n1 * 100) / n0.

n0 =25
n1 =60