SOLUTION: Katie can bicycle 69 miles in the same time as it takes her to walk 21 miles. She can ride 8 mph faster than she can walk. How fast can she walk

Question 1032108: Katie can bicycle 69 miles in the same time as it takes her to walk 21 miles. She can ride 8 mph faster than she can walk. How fast can she walk
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = her walking speed
= her biking speed
Let = her time in hrs for
both walking and biking
--------------------------
Equation for walking:
(1)
Equation for biking:
(2)
--------------------
(1)
Substitute this into (2)
(2)
(2)
(2)
(2)
(2)
-------------------
Her speed walking is 3.5 mi/hr
-------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
RELATED QUESTIONS
1.Katie can bicycle 104 miles in the same time as it takes her to walk 24 miles. She can... (answered by jorel1380)

A woman can bicycle 69 miles in the same time as it takes her to walk 15 miles. She can... (answered by macston)

A woman can bicycle 28 miles in the same time as it takes her to walk 8 miles. She can... (answered by mananth,Tatiana_Stebko)

A woman can bicycle 23 miles in the same time as it takes her to walk 5 miles. She can... (answered by ikleyn)

A woman can ride a bicycle 25 miles in the same time that it takes her to walk 5 miles.... (answered by Greenfinch)

A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can... (answered by TimothyLamb)

A woman can bicycle 46 miles in the same time as it takes her to walk 6 miles. She can... (answered by josgarithmetic,josmiceli)

A woman can bicycle 88 miles in the same time as it takes her to walk 16 miles. She can... (answered by josgarithmetic)

A women can bicycle 22 miles in the same time as it takes her to walk 8 miles. She can... (answered by josmiceli)