math
posted by help please:) .
Yesterday Lucy walked 2 hours and jogged 1/2 hour and covered 6.25 miles. Today she walked for 3 hours and jogged for 1 hour and covered 10.25 miles. Assuming a constant walking rate and a constant jogging rate, how fast did she walk and how fast did she jog? Define two variables, write a system of equations, and solve to find the walking rate and the jogging rate. Justify your answer by showing how you solved the problem.
w walking j jogging
2w + .5j= 6.25 > 3(2w+.5j)= 3(6.25)
3w + 1j= 10.25 > 2(3w+1j)= 2(10.25
6w + 1.5j= 18.75
6w  2j= 20.50

.5j=1.75
j=.3
2w + .5(.3)= 6.25
2w + 15= 6.25
2w= 6.10 w= 3.05
check:
2(3.05) + .5(.3)= 6.25 (correct)
3(3.05) + 1(.3)= 9.45(wrong!!) it should be 10.25.
Where am i going wrong?

ok up to
.5j=1.75
then
j = 3.5 (you had j= .3)
back in 3w + j = 10.25
3w + 3.5 = 10.25
w = 2.25
Respond to this Question
Similar Questions

algebra
Yesterday Lucy walked 2 hours and jogged 1/2 hour and covered 6.25 miles. Today she walked for 3 hours and jogged for 1 hour and covered 10.25 miles. Assuming a constant walking rate and a constant jogging rate, how fast did she walk … 
algebra...redo.
Yesterday Lucy walked 2 hours and jogged 1/2 hour and covered 6.25 miles. Today she walked for 3 hours and jogged for 1 hour and covered 10.25 miles. Assuming a constant walking rate and a constant jogging rate, how fast did she walk … 
11th grade
Yesterday Lucy walked 2 hours and 1/2 jogged hour and covered 6.25 miles. Today she walked for 3 hours and jogged for 1 hour and covered 10.25 miles. Assuming a constant walking rate and a constant jogging rate, how fast did she walk … 
algebra
Jean jogged for 2 miles and then walked for 3 miles. Took her 1 1/3 hours. If she jogged twice as fast as she walked, what was her walking rate? 
math
Tom and kate live 15 miles apart they decide to jog to meet eachother kate left her house and jogged at a rate of 2.5 miles per hour tom left his house at the same time and jogged at a rate of 3.5 miles per hour how long does it take … 
Math
You walk at 4 miles per hour for 1/2 hour, and then jog at 6 miles per hour for h hours. The total distance that you cover both walking and jogging is 6 miles. Write an equation that represents this situation. 
VNS,Math
A man walked into the road at 4 miles per hour and returned over the same road at the rate of 3 miles per hour. If he completed the entire trip in 7/2 hours,how far in miles in to the roads did he walk? 
math
Two friends worked out on treadmills at the gym. •Alden walked 2 miles in 3/4 hour •Kira walked 1 3/4 miles in 30 minutes Who walked at a faster rate? 
math
Rosy has been jogging for 3 weeks. In the first week She jogged 3 days each for 4/6 of an hour. During week 2 she jogged for 3/4 of an hour on 2 days. In week 3 she jogged 4 days each for 3/5 of an hour . WRITE one expression that … 
math
Mila jogged 4.6 miles in 48 minutes. If she jogged at a constant rate, what was her jogging speed?