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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
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