SOLUTION: 1) What quanity of 75% acid solution must be mixed with a 30% solution to produced 1080mL of a 50% solution? 2) 2 cyclist, 48 miles apart, start riding toward each other @ the s

Algebra ->  Expressions-with-variables -> SOLUTION: 1) What quanity of 75% acid solution must be mixed with a 30% solution to produced 1080mL of a 50% solution? 2) 2 cyclist, 48 miles apart, start riding toward each other @ the s      Log On


   



Question 51224: 1) What quanity of 75% acid solution must be mixed with a 30% solution to produced 1080mL of a 50% solution?
2) 2 cyclist, 48 miles apart, start riding toward each other @ the same time. One cycles 3 times as fast as the other . If they meet 2 hrs. later, what is the speed (in miles per hours) of the faster cyclist?

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1.)
%28%280.75x%29+%2B+%280.30%281080+-+x%29%29%29%2F1080+=+0.50
0.75+%2B+324+-+0.3x+=+540
0.45x+=+216
x+=+480
Plug:
1080 - x
1080 - 480 = 600
600mL of 75% solution and 480mL of 30% solution
2.)
Rate * Time = Distance
2(r + 3) + 2r = 48
2r + 6 + 2r = 48
4r = 42
r = 10.5
One was going 10.5 mph while the other was going 13.5 mph.