SOLUTION: Maria bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km. How fast does each person travel?
Carlos:
Maria:
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Maria bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km. How fast does each person travel?
Carlos:
Maria:
Log On
Question 296249: Maria bicycles 6km/h faster than Carlos. In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km. How fast does each person travel?
Carlos:
Maria:
You can put this solution on YOUR website! Maria bicycles 6km/h faster than Carlos.
In the same time it takes Carlos to bicycle 33km, Maria can bicycle 51km.
How fast does each person travel?
------------------
Carlos DATA:
distance = 33 km ; rate = x km/hr ; time = d/r = 33/x hrs
----------------------------------------
Maria DATA:
distance = 51 km ; rate = x+6 km/hr ; time = 51/(x+6) hrs
----------------------------------------
Equation:
distance = distance
33/x = 51/(x+6)
33x + 33*6 = 51x
18x = 6*33
x = (6/18)(33)
x = 11 km/hr (Carlos rate)
x+6 = 17 km/hr (Marian rate)
===============================
Cheers,
Stan H.
(