Zen and Noah decided to read a novel. When Noah started reading the no

let Zen reading speed be = x pages/min
Noah reading speed be = y pages/min

--initially, Zen had already read 60 pages when Noah started

after 30 min Noah overtakes Zen

--pages read by Zen in 30 min = 60+30x
--pages read by Noah in 30 min = 30y

60+30x = 30y
y-x = 2

pages read by Noah and Zen 50 minutes after Noah and Zen reading the same page

-Noah = 50y
-Zen = 50x

pages Noah will be ahead of Zen = 50(y-x) = 50*2 = 100

D is the correct answer

D.

Since the difference in speed is 60pages/30mins-> 2page/mins

One they reach at same page, in 50 mins, Noah will be ahead by 50*(2page/min)= 100 pages

Posted from my mobile device

60+30X=30Y
2+X=Y
That is Noah reads 2 pages more than Zen per minute.
After 50 minutes; 50Y=50(X+2)=50X+100.
Option D

Posted from my mobile device

pages after 30 mins = 60 + rate of zen • 30 mins
pages after 30 mins = rate of noah • 30 mins
pages after 30 mins: 60+30z=30n…n-z=2
pages 50 mins after they are reading the same page: (n-z) • 50 mins = (2)•50 = 100 pages

Answer (D)

in 30 mins Noah has read x pages and zen ; x+60
rate of Noah ; x/30 and zen ; x+60/30 ; x/30+2
so in 50 mins
5x/3 = 5x/3+100
100 pages
IMO D

In 30 MINUTES,
NOAH reads 60 pages EXTRA.
IN 1 MINUTE,
NOAH reads 2 pages EXTRA.
IN 50 MINUTES,
NOAH reads 100 pages EXTRA.

Posted from my mobile device

When Noah started reading the novel, Zen had finished 60 pages. After 30 minutes, Noah overtakes Zen.
When Noah begins reading, he is 60 pages behind.
To close this 60-page deficit in 30 minutes, Noah's page total in 30 minutes must exceed Zen's by 60 pages, implying the following:
\(\frac{60-excess-pages}{30-minutes} = 2\) excess pages per minute

How many pages will Noah be ahead of Zen, 50 minutes after Noah and Zen reading the same page?
(2 excess pages per minute)(50 minutes) = 100 excess pages

Given: Zen and Noah decided to read a novel. When Noah started reading the novel, Zen had finished 60 pages. After 30 minutes, Noah overtakes Zen and both continue to read at their own speeds.

Asked: How many pages will Noah be ahead of Zen, 50 minutes after Noah and Zen reading the same page?

Let the speeds of reading of Zen and Noah be x & y pages/minute.

When Noah started reading the novel, Zen had finished 60 pages. After 30 minutes, Noah overtakes Zen and both continue to read at their own speeds.

After 30 minutes: -
Number of pages read by Zen = 30x + 60
Number of pages read by Noah = 30y
30x + 60 = 30y
y = x +2

After another 50 minutes: -
Number of pages read by Zen = 80x + 60
Number of pages read by Noah = 80y
Number of pages Noah is ahead of Zen = 80y - (80x+60) = 80(x-y) - 60 = 80*2 - 60 = 100 pages

IMO D