Problema Solution
In a marathon race, Katie ran the first leg in a certain amount of time. Jessica ran the second leg 3 minutes slower than Katie. Jill ran the third leg 21 minutes slower than Jessica, and kelsy ran the final leg of the race in 3/4 of Katie's time. If the team finished the word problbem in 4 hours and 24 minutes, how fast was each girl?
Answer provided by our tutors
let 'x' represent the time of Katie
Katie's time: x
Jessica ran the second leg 3 minutes slower than Katie follows that Jassica's time is: x - 3
Jill ran the third leg 21 minutes slower than Jessica follows that Jill's time is: (x - 3) - 21 = x - 24
Kelsy ran the final leg of the race in 3/4 of Katie's time follows that Kelsy's time is: (3/4)x
the team finished the race in 4 hours and 24 minutes = 4*60 + 24 = 264 min
x + (x - 3) + (x - 24) + (3/4)x = 264
by solving we find:
x = 77.6 min
click here to see the step by step solution of the equation:
Katie's time is: 77.6 minutes
Jessica's time is: 77.6 - 3 = 74.6 minutes
Jill's time is: 77.6 - 24 = 53.6 minutes
Kelsy's time is: (3/4)*77.6 = 58.2 minutes