Fast and lazy typers

Algebra Level 2

One person can write 20 pages in 4 hours. The other types 20 pages in 5 hours.

900 pages have to be written by both. They must finish all together.

In these circumstances, how many pages must be distributed to the slower person?


The answer is 400.

View wiki
Pedro Thomasi by Pedro Thomasi , 28, Brazil

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Hung Woei Neoh
Jun 26, 2016

Person A types 20 20 pages in 4 4 hours. Every hour, person A types 20 4 = 5 \dfrac{20}{4} = 5 pages

Person B types 20 20 pages in 5 5 hours. Every hour, person B types 20 5 = 4 \dfrac{20}{5}=4 pages

Together, both of them type 5 + 4 = 9 5+4=9 pages in an hour.

They have to type 900 900 pages. This means they will need to type for 900 9 = 100 \dfrac{900}{9}=100 hours

The slower person is person B, and he will need to type 4 × 100 = 400 4\times 100 = \boxed{400} pages

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...