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Fri 16 Sep, 2005 12:08 am
Trains leave from New York to Washington every hour on the hour(1:00,2:00....).Trains leave from Washington to New York every hour on the hour and half hour(1:00,1:30,2:0,2:30....). It takes a train 5 hrs to complete its journey from Washington to New York as well as from new york to washington.A train leaves from new york to washington. Find out how many trains it will meet before it reaches washington.
If it takes 5 hrs it will meet all trains that leave Washington. It arrives as the 5.00 leaves including that one it will meet 1.00,1.30,2.00,2.30,3.00,3.30,4.00,4.30,5.00.,5.30,6.00 a total of 11 trains. 10 trains if you do not include the 5.00 which will be leaving.
If you include trains that were already on the way you must add in an extra 9 trains if you include the one arriving as it leaves.
19 trains not counting the one that just pulled in as it departs and the one that is just leaving as it arrives.
19 is the correct Answer.
Suppose the train leaves at 12PM,
Then trains it 'll meet wud leave NY at
7:30am
8:00am 8:30am
9:00am 9:30am
10:00am 10:30am
11:00am 11:30am
12:00pm 12:30pm
1:00pm 1:30pm
2:00pm 2:30pm
3:00pm 3:30pm
4:00pm 4:30pm
which counts to 19 trains, yes we don't include
the one that just pulled in as it departs(leaves 7am) and the one that is just leaving as it arrives(leaves 5am).
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