Answer:
Darlene and Mary will be on the same page after 1 hour.
Step-by-step explanation:
Given:
Number of pages Darlene has already completed = 72
Rate at which Darlene continues working = 14 pages per hour
Number of pages Mary has already completed = 81
Rate at which Mary continues working = 5 pages per hour
To Find:
Time after which the students will be on the same page =?
Solution:
let the time after which the students will be on the same page bex X
then
After X hours, number of pages completed by Darlene will be
72 + 14(x)--------------------------------------------------(1)
After X hours, number of pages completed by Mary will be
81 + 5(x) ---------------------------------------------------(2)
Equating the equations (1) and (2)
72 + 14(x) = 81 + 5(x)
72 +14x = 81 + 5x
solving the equation,
14x - 5x = 81-72
9x= 9
x=
x=1