Question 269854
Distance(d) equals Rate(r) times Time(t) or d=rt;  r=d/t and t=d/r
Let d=distance to Calif (also distance back to home)

Time to Calif=d/50
Time back home=d/65

Now we are told that the above two times add up to 10 hr, so:

d/50+d/65=10  multiply each term by 650
13d+10d=6500
23d=6500
d=282.6 mi-------------dist to/from Calif

CK
282.6/50+282.6/65 = 10
5.65 + 4.35=10
10=10

Does this help?---ptaylor