ashley ran a marathon and finished 1 hour 409 minutes after p.j. who had a time of 2 hours 15 minutes .kerry finished 12 minutes before ashley .how long did it take kerry to run the marathon
Let A--------------> time it took Ashley to run the marathon P--------------> time it took p.j to run the marathon K--------------> time it took kerry to run the marathon
we know that
P=2 h +15 min 15 min-----------> 15/60----------> 1/4-----> 0.25 hour so 2 h+15 min--------> 2h +0.25 h-------> 2.25 hour P=2.25 A=(1 h +40 min)+P 40 min/60-------> 0.67 hour A=(1 h+0.67 h)+P-----------> A=(1.67 h)+2.25---------> A=3.92 hour
K=A-12 min 12 min---------> 12/60-------------> 1/5-------> 0.20 hour K=3.92-0.20-----------> K=3.72 hour 3.72 hour--------> 3 hour+0.72 hour 0.72 hour*60--------> 43.2 min 43.2 min--------> 43 min+0. 2 min 0.2 min*60------> 12 sec so
3.72 hour---------> 3 hour+ 43 min+ 12 sec
the answer is Kerry took (3 hour+ 43 min+ 12 sec) to run the marathon