Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 18
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20downstream
x = 5(r-2) x = 3(r+2)
Since x = x
we have 5(r-2) = 3(r+2)
5r – 10 = 3r + 6
r = 8
5. A plane flying with a tailwind flew 600 mi in 4 hours. It took the plane 5 hours to fly
the same distance against the wind. Find the rate of the wind.
a. 30 mph
b. 20 mph
c. 135 mph
d. 15 mph
6. Traveling with the current, a motorboat went 45 mi in 3 hours. Traveling against the
current the boat went 45 mi in 5 hours. Find the rate of the motorboat in calm
water.
a. 12 mph
b. 15 mph
c. 3 mph
d. 9 mph
MIXTURE PROBLEMS
1. A nurse must administer 5oz. of a 12% solution of medicine. In stock there are a
25% solution and a 5% solution of the same medicine. How many oz. of each should
she mix to obtain the 5oz. of the 12% solution?
let x = # of ozs. of 25% solution
then 5 – x = # “
“ 5% “
amount
Rate
concentration
25% solution
x
.25
.25x
5% solution
5 – x
.05
.05(5-x)
Final solution 12%
5
.12
.12(5)
.25x + .05(5 – x) = .12(5)
Solve for x
x = 1.75 ozs. of 25% solution
18
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