Train J and K, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train J left at 4 pm traveling at a speed of 60 miles per hour, and train K left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other? Choose the correct choice from the following options:  A) 9.05pm  B) 2.05pm  C) 1.05pm  D) 6.05pm  E) 8.05pm
First, since J has a headstart then in that 1hr45min or 1.75hrs he travels 105 miles   Then remaining distance to be traveled will be   455 - 105= 
<gadget id="calculator">  455 - 105</gadget>
<output>350</output>
350 miles   Now, using relative rates (105)(t)= 350   This gives 10/3 hours   Now 5.45pm + 10/3 hours gives us 9.05pm   Hence answer is 9.05pm
<result>A</result>
Train J and K, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. If train J left at 4 pm traveling at a speed of 60 miles per hour, and train K left at 5:45 pm and traveling at 45 miles per hour, then at what time would they pass each other?