SOLUTION: Jasmine wants to run a marathon.she knows she will have to walk some of 26.2 miles but she wants to finish in 5 hrs.she plans to run 10 minute miles and walk 15 minute miles.If x i

Question 850970: Jasmine wants to run a marathon.she knows she will have to walk some of 26.2 miles but she wants to finish in 5 hrs.she plans to run 10 minute miles and walk 15 minute miles.If x is no of minutes she runs and y is minutes she walks, what equation relates x and y to the goal of coveting 26.2 miles?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jasmine wants to run a marathon.she knows she will have to walk some of 26.2 miles
but she wants to finish in 5 hrs.
she plans to run 10 minute miles and walk 15 minute miles.
If x is no of minutes she runs and y is minutes she walks,
what equation relates x and y to the goal of coveting 26.2 miles?
:
I'd do it this way
let x = no. mile she runs and y = no.miles she walks
:
Write two equations, one for distance & one for time
Since we are using minutes, convert 5 hrs to 300 min
x + y = 26.2
and
10x + 15y = 300
simplify, divide by 5
2x + 3y - 60
multiply the first equation by 3, subtract the ab0ve equation
3x + 3y = 78.6
2x + 3y = 60
-------------subtraction eliminates y, find x
x = 18.6 mi running
then
26.2 - 18.6 = 7.6 mi walking
:"
Find the no. of minutes she runs and walks
10*18.6 = 186 min running
15*7.6 = 114 min walking
------------------------
total time; 300 min which is 5 hrs
RELATED QUESTIONS
A long distance runner completes the first half of a 26 mile marathon in 2 hours. How... (answered by arallie)

a marathon is 26.2 miles. a girl wants to run it in 4 hours and 30 minutes. what will... (answered by Fombitz)

A local hospital is holding a two day marathon walk to raise funds for a new research... (answered by mananth)

Wendy is training to run a marathon. Her training for week 1 is 7 miles. She plans to... (answered by ankor@dixie-net.com)

Please help me with this problem: A jogger is training for a marathon. She wants to... (answered by jim_thompson5910,josgarithmetic)

Jasmine has $108 in savings. She already knows of an app subscription she wants to buy... (answered by ikleyn)

A cyclist rides at an average speed of 26 miles per hour. If she wants to bike 210 km ,... (answered by Alan3354)

Susan can run 2 city blocks per minute. She wants to run 60 blocks. How long will it take (answered by macston)

jasmine wants to make 40% citric acid. If she has 1/2 liters of 0% citric acid, how many... (answered by Alan3354)