Kirsten can type a 50-page paper in 8 hours. Last month Kirsten and Courtney, together, typed a 50-page paper in 6 hours. How long would it take Courtney to type a 50-page paper on her own?

1 Answer
Jul 3, 2018

Answer:

Time taken by Courtney to type 50 pages #= 50 / (2(1/12) )= 24 # hours

Explanation:

No. of pages typed by Kristen in 8 hours = 50

No. of pages typed by Kristen in 6 hours #= (6/8) * 50 = 37(1/2) # pages

Kristen + Courtney typed pages in 6 hours = 50

#:.# Courtney typed pages in 6 hours = 50 - 37(1/2) = 121/2) pages

No. of pages typed by Courtney in 1 hour = 12(1/2) / 6 = 2(1/12) pages

Time taken by Courtney to type 50 pages #= 50 / (2(1/12) )= 24 # hours