Problema Solution
vicvic and alou can do a certain job in 15 days. vicvic starts working but quits after 10 days. alou continues the job and finishes it in 18 days how long would it take each to do the job alone
Answer provided by our tutors
Let 'v' and 'a' stand for the rates of vicvic and alou. We will use the general equation: (number of jobs)=(rate)(time). From the given information, we can write:
1=(v+a)15
1=(v+a)10+a18
solving for 'v' and 'a' we have:
a = 1/54
v = 13/270
the inverse of their rates tells us how many days it would take each one working alone:
54/1 = 54 days of Alou
270/13 = 20.76, or approximately 21 days for Vicvic