SOLUTION: sarah travelled 160 km more by train than she did by bus. The train averaged 60 km/h and the bus 40 km/h. The total time spent travelling was 11 h. Determine the distance Sarah spe

Question 1112956: sarah travelled 160 km more by train than she did by bus. The train averaged 60 km/h and the bus 40 km/h. The total time spent travelling was 11 h. Determine the distance Sarah spent travelling by train and bus
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = distance she traveled by bus in km
= distance she traveled by train in km
Let = time in hrs spent traveling by bus
= time in hrs spent traveling by train
---------------------------------------------------
Equation for the bus:
(1)
Equation for the train:
(2)
----------------------------------
(2)
(2)
Plug (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
and

--------------------------------
She traveled 200 km by bus
and 360 km by train
--------------------------------
check:
(2)
(2)
(2)
(2)
OK

Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!

sarah travelled 160 km more by train than she did by bus. The train averaged 60 km/h and the bus 40 km/h. The total time spent travelling was 11 h. Determine the distance Sarah spent travelling by train and bus

Just set up a TIME equation, as follows:
Solve this to get D, the distance traveled by train.
Subtract 160 from D to get distance traveled by bus.
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