Question 853754
Time taken in forward journey = 180/x 
x is the speed

return journey speed increased by 5 mph. (x+5)

Time forward - time return = 24/60 = 2/5 hours

{{{180/x - 180/(x+5) = 2/5}}}


Take LCM of denominator 
5x(x+5)

180*5*(x+5) -180*5*x=2*x*(x+5)

900x+4500-900x=2x^2+10x

2x^2+10x-4500=0
/2
x^2+5x-2250=0

x^2+50x-45x-2250=0

x(x+50)-45(x+50)=0

(x+50)(x-45)=0
x= -50 OR 45

Speed from home was 45 mph