Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilometers per hour. At the same time, Lian boards a train heading west on a parallel track at an average speed of 250 kilometers per hour. How far has Lian traveled when the two trains pass each other?
Answers
Given :- Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading east at an average speed of 220 kilometers per hour. At the same time, Lian boards a train heading west on a parallel track at an average speed of 250 kilometers per hour.
To Find :-
- How far has Lian traveled when the two trains pass each other ?
Solution :-
given that,
→ Speed of train in which Yuto is heading east = 220km/h.
→ Speed of train in which Lian is heading west = 250km/h.
So,
→ usual speed of both trains = 220 + 250 = 470km/h . { speed adds in opposite direction. }
and,
→ Distance to be travelled before they pass each other = 1880 km.
then,
→ Time taken to pass each other = Distance / usual speed = 1880 / 470 = 4 hours.
therefore,
→ Distance traveled by Lian in 4 hours = Speed * Time = 250 * 4 = 1000 km (Ans.)
Hence, Lian traveled 1000km when the two trains pass each other.
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Answer: D ~ 1,000 kilometers
Hope This Helps! (^w^)