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 380 miles apart, at what time will the trains pass each other?  Answers
A) 12:40pm  B) 12:49pm  C) 12:55pm  D) 1:01pm  E) 1:05pm
Train A: going from K to T   Train B: going from T to K   First I calculated how far Train A will have travelled by the time Train B starts at 12:10:   10 minutes at 240 mph    1/6*240= 
<gadget id="calculator"> 1/6*240</gadget>
<output>40</output>
40miles   They have 380-40= 
<gadget id="calculator">380-40</gadget>
<output>340</output>
340 miles to travel to meet each other.   I found the combined rate of the two trains   Rate(A) + Rate(B)= 400mph   1:01pmivide 1:01pmistance/Rate to find total time each will travel:   340/400&gt;&gt;&gt; 51 Minutes to meet   12:10+51 minutes = 1:01 or Answer 1:01pm
<result>D</result>
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 380 miles apart, at what time will the trains pass each other?