Question 876246
Let x pages /hour be the rate to finish in time
let t be the normal time required

I condition

(x+2)(t-3) =xt

xt-3x+2t-6=xt
3x-2t=-6........................(1)


II condition
(x+4)(t-5)=xt
xt-5x+4t-20=xt

5x-4t=-20
.....................................(2)

solve (1) & (2)

3	x		-2	t	=	-6	.............1	
								
5	x		-4	t	=	-20	.............2	
Eliminate	y							
multiply (1)by		-2						
Multiply (2) by		1						
-6	x		4	t	=	12		
5	x		-4	t	=	-20		
Add the two equations								
-1	x				=	-8		
/	-1							
x	=	8      						
plug value of			x	in (1)				
3	x		-2	t	=	-6		
24			-2	t	=	-6		
			-2	t	=	-6		-24
			-2	t	=	-30		
				t	=	15		
	8 pages /hour						
	15 hours  actual time		
m.ananth@hotmail.ca