Question

EOC Algebra. Plz help

If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes? A. 5/p 
B. p - 5 
C. p + 5 
D. p/5 
E. 1- p + 5



If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? A. 2 hours and 24 minutes 
B. 3 hours and 12 minutes 
C. 3 hours and 44 minutes 
D. 4 hours and 10 minutes 
E. 4 hours and 33 minutes

Answer 1

`1.\\ \begin{array}{ccc}p\ (min)&-&1\ (page)\\\\5\ (min)&-&x\ (pages)\\\\\end{array}\\\\cross\ multiply:\\\\p\cdot x=5\cdot1\\\\px=5\ \ \ \ /:p\\\\x=(5)/(p)\\\\Answer:D.`




`1\ house\to4h:Sally\\\\1\ house\to6h:John\\\\(1)/(4)+(1)/(6)=(1\cdot3)/(4\cdot3)+(1\cdot2)/(6\cdot2)=(3)/(12)+(2)/(12)=(5)/(12)\to\ 5\ houses\to12h:together\\\\5\ houses \to12h\ \ \ /:5\\\\1\ hose\to(12:5)h=(12)/(5)h=2(2)/(5)h=2(2\cdot12)/(5\cdot12)h=2(24)/(60)h=2h\ 24min\\\\Answer:A`