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?

A table showing Rate in kilometers per hour, Time in hours, and Distance in kilometers. The first row shows, Yuto, and has 220, t, and 220 t. The second row shows, Lian, and has 250, t, and 250 t.

470 kilometers
880 kilometers
940 kilometers
1,000 kilometers

1 answer

When the two trains pass each other, the total distance traveled by both Yuto and Lian is 1,880 kilometers.

Using the formula distance = rate x time for both Yuto and Lian, we get:

220t + 250t = 1,880
470t = 1,880
t = 4 hours

Therefore, Lian has traveled 250 x 4 = 1,000 kilometers when the two trains pass each other.