Question

two students in mr brady’s class, darlene and mary, have been assigned a workbook to comeplete at their own pace. they get together after school to complete as many pages as they can. darlene has already completed 72 pages and will continue working at a rate of 14 pages per hour. mary has completed 81 pages will continue working at a rate of 5 pages per hour. when will the students be on the same page

Answer 1

Darlene and Mary will be on the same page after 1 hour.

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=
`(9)/(9)`

x=1