SOLUTION: The Griswalds averaged 45 mph on their way to Las Vegas and 60 mph on the way back home using the same route. What is the distance from their home to Las Vegas if the total drivi

Algebra ->  Expressions-with-variables -> SOLUTION: The Griswalds averaged 45 mph on their way to Las Vegas and 60 mph on the way back home using the same route. What is the distance from their home to Las Vegas if the total drivi      Log On


   



Question 335548: The Griswalds averaged 45 mph on their way to Las Vegas and 60 mph on the way back home using the same route. What is the distance from their home to Las Vegas if the total driving time was 70 hours.
Found 2 solutions by Fombitz, nyc_function:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
1.45%2AT1=D
2.60%2AT2=D
3.T1%2BT2=70
From eq.1,
T1=D%2F45
From eq. 2,
T2=D%2F60
Substitute into eq. 3,
D%2F45%2BD%2F60=70
Multiply both sides by 45%2A60
60D%2B45D=189000
105D=189000
highlight%28D=1800%29 miles

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
D = rt
They were both the same distance, so:
rt = rt
45t = 60(70 - t)
45t = 4200 - 60t
105t = 4200
t = 40h
45 mi/h for 40h
60 mi/h for 30h
45 * 40 = 1800 mi