SOLUTION: on a road trip, five friends drove at 50 miles per hour to California. On the way home they took the same route, but drove 65 miles per hour. how many miles did they drive on the W

Question 269854: on a road trip, five friends drove at 50 miles per hour to California. On the way home they took the same route, but drove 65 miles per hour. how many miles did they drive on the WAY to California if the total trip took 10 hours?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
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

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