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34 votes
34 votes
Ali and Jake went on a cross-country trip they took a train part of the way and took a bus the rest of the way they traveled a total of 1200 km riding on the train 360 more km than the bus let x equal kilometers travel by the bus let y equal kilometers travel by the train how many kilometers did they travel by train

User Sam Braslavskiy
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1 Answer

4 votes
4 votes
Answer:

780 km was traveled by train

420 km was traveled by bus

Explanations:

Total distance traveled = 1200 km

Distance traveled by bus = x km

Distance traveled by train = y km

(Distance traveled by bus) + (Distance traveled by train) = Total distance

x + y = 1200..........(1)

They ride on the train 360 more kilometers than the bus

y = x + 360..........(2)

Substitute equation (2) into equation (1)

x + (x + 360) = 1200

2x + 360 = 1200

2x = 1200 - 360

2x = 840

x = 840/2

x = 420

Substitute the value of x into equation (2)

y = 420 + 360

y = 780

780 km was traveled by train

420 km was traveled by bus

User Huu Phuong Vu
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2.9k points