SOLUTION: Ryan drove his car from A to B at 81 km/hr. His car broke down and he returned by bus at 54 km/hr. His total traveling time was 5 hours. How long was his trip by car?

Question 494390: Ryan drove his car from A to B at 81 km/hr. His car broke down and he returned by bus at 54 km/hr. His total traveling time was 5 hours. How long was his trip by car?
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 t1= time to travel from A to B
And let t2= time to travel from B to A
Now we are told that t1 + t2=5 and we know that:
t1=d/81 and
t2=d/54 soooooo:
d/81 + d/54 = 5 multiply each term by 162
2d+3d=810
5d=810
d=162 mi
t1=162/81=2 hours---------------------trip by car
and t2=162/54=3 hours--------------------trip by bus
Trip by car + trip by bus=5 hrs
2+3=5
5=5
Hope this helps---ptaylor

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