Problema Solution

At the beginning of a walk, Roberto and Juanita are 3.3 miles apart. If they leave at the same time and walk in the same direction, Roberto over takes Juanita in 11 hours. If they walk towards each other, they meet in 1 hour. What are their speeds.

Answer provided by our tutors

let


x = the speed of Roberto

y = the speed of Juanita


if the walk in the same direction


11*x = 3.3 + 11*y


if the walk towards each other


x + y = 3.3


by solving the system of equations


x + y = 3.3

11*x = 3.3 + 11*y


we find


x = 1.8 mph


y = 1.5 mph


Roberto's speed is 1.8 mph and Juanita's speed is 1.5 mph.