Question 474036
First part	95	miles										
Second part	22	miles										
												
speed in first part	x	mph								
speed second part	x-5	mph								
Total rowing time 3	hours									
Time first part	95/x								
Time second part 22/(x-5)					
												
Time first part + time second part =	3	hours								
												
95/x+22/(x-5)=	3
LCD =x	*(x-5)				
multiply the equation by the LCD												
we get												
95*(x-5	)+22x	=	3
95x-475	+22x=3x^2	
117x-475=3x^2+475					
3x^2-132x+475	=	0				
3x^2-132x+475	=	0						
/	3											
1x^2-44	x+158.33=0						
												
Find the roots of the equation by quadratic formula												
												
a=	1	b=	-44	c=	158.33							
												
b^2-4ac=1936+633.33									
b^2-4ac=1302.67
{{{sqrt(1302.67	)}}}=	36.09					
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}												
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}												
x1=(44+36.09)/	2							
x1=	40.05											
x2=(44	-36.09	) /	2								
x2= 3.95 Ignore 												
x	=	40.05	mph	first part
35.05 mph second part
								
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