buckkitty
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time will the trains pass each other?
A. 12:40pm
B. 12:49pm
C. 12:55pm
D. 1:00pm
E. 1:05pm
Train KT:
distance = rate × time
distance = 240t [This is the distance covered until they pass each other.]
Train TK:
time = t – 1/6 [Because this train leaves 10 minutes = 1/6 hours later, this train travels for 1/6 hours less time until they pass each other.]
distance = 160(t – 1/6) [This is the distance covered until they pass each other.]
The total distance they cover is the sum of their individual distances:
240t + 160t – 160/6 = 300
400t = 1960/6
t = 1960/[(6)(400)] hours = (1960)(60)/[(6)(400)] minutes
t = 49 minutes
Since train KT leaves at 12 noon, they will pass each other at:
12 noon + 49 minutes = 12:49pm
Answer: B