Monday

September 1, 2014

September 1, 2014

Posted by **john** on Sunday, September 16, 2012 at 4:11pm.

- college algebra -
**Henry**, Monday, September 17, 2012 at 5:24pmDoreen's speed = X mi/h

Doreen's time = Y hrs(d = 56mi).

Eq1: X*Y = 56.

Y = 56/X

Sue's speed = (X+15) mi/h.

Sue's time = (Y-4) hrs(d = 132mi).

Eq2: (X+15)(Y-4) = 132.

In Eq2, substitute 56/X for Y:

(X+15)(56/X-4) = 132

56-4x+840/x-60 = 132

-4x+840/x-4 = 132

Multiply both sides by X:

-4x^2+840-4x = 132x

-4x^2-136x+840 = 0

Divide both sides by -4:

x^2+34x-210 = 0.

Use Quad. formula.

X = 5.34 mi/h = Doreen's speed.

X+15 = 5.34+15 = 20.34 mi/h=Sue's speed.

Y = 56/X = 56/5.34 = 10.5 h. = Doreen's

time.

Y-4 = 10.5-4 = 6.5 hrs = Sue's hrs.

**Related Questions**

Math - To travel 175 miles, it takes Sue, riding a moped, 4 hours less time than...

Algebra 1 - You are 36 miles from a friend. You both start riding your bicycles ...

algebra - chuck and dana agree to meet in florida for the weekend. Chuck travel ...

Math - Jack is riding his bike 65 miles in on an 8 hour ride. He is riding up Mt...

algebra - INTRODUCTION TO RATIONAL EXPRESSIONS Distance and Time A car is ...

Algebra 1 - 2 friends are 60 miles apart. They decide to ride thier bicycles to ...

Math - if a guy tavels 36 miles in 12 hours and his friend travels in a bike ...

math - the group covered the first 70 miles in 10 hours. then it doubled its ...

math - Mike makees the following table of the distances he travels during the ...

algebra - A train can travel 280 miles in the same time that it takes a car to ...