Problema Solution

samantha and peverly together can do a piece of work in twenty-four days.if samantha can do only two-thirds as much as peverly, how long will it take samantha to do the work alone?

Answer provided by our tutors

let samantha did work in = x days

pev does = y days

work done by sam in 1 days = 1/x

in 24 days = 24/x

pev in 1 days = 1/y

in 24 days = 24/y

total work = 24(1/x + 1/y)

1/x + 1/y = 1/24  

24/x = 2/3 * 24/y

1/x = 2/3y

=> 5/3y = 1/24

y = 40

x = 60 days