Mr. Ambrose and Mr. Bruford, two senior executives of a London based multinational organisation, embarked on a business tour during the course of the year 2003 A.D. to two of the branches of the organisation located in the capital cities of two different countries. The flag of the country visited by Mr.Ambrose included a blue trapezoid and a green trapezoid as two of its features while the flag of the country corresponding to the city visited by Mr. Bruford contained a purely red circle.
Immediately upon reaching the capital city of the host country, Mr. Ambrose reset his 24 hour wristwatch in accordance with the local time and observed that the date according to his watch was Pth day of the Qth month of 2003, where 2003 when divided separately by P and Q yielded a remainder of 3 in both the cases; both P and Q were greater than 3, and (P+Q) was divisible by 5. Furthermore, it was a FRIDAY according to his watch.
After reaching his hotel room, when it was precisely (x^2) Hours according to his watch, Mr. Ambrose contacted Mr. Bruford for an urgent matter whereby he learnt that the time according to Mr. Bruford's 24 Hour electronic wristwatch (which was also reset in accordance with the local time) at the same instant was exactly ((5/4)*x² +2) hours.
Later during the same day, after returning from an important business meeting to his hotel room, Mr.Ambrose's watch displayed exactly ((5/4)*x²+2) Hours when Mr. Ambrose contacted Mr.Bruford for the second time to discuss the outcome of their respective business meetings; Mr. Bruford's response included the fact that the time by his watch was exactly x Hours.
What cities were visited by Mr. Ambrose and Mr.Bruford? What was the date and time according to their respective wristwatches when Mr. Ambrose contacted Mr. Bruford for the second time?
Note: This problem is based on the global political scenario prevailing in 2003 A.D.
Two national flags contain a plain red circle:
Ten national flags contain both a blue and green trapezoid:
- Central African Republic
- Sierra Leone,
- St. Vincent of the Grenadines, and
It was easy to calculate both the date and times.
MOD(2003,P) = MOD(2003,Q); MOD(P+Q) = 0; P := FRIDAY
Therefore the date was October 10, 2003.
Solving for x, x = 4. Thus, the time of the first call was made at 16:00 and received at 22:00. The second call made at 22:00 and received at 04:00.
The time differential between the two nations is therefore 6 hours. Both Japan (GMT+9) and Bangladesh (GMT+6) do not observe Daylight Savings Time, therefore the country in question must either have a GMT+3 -- or observe DST during October 10, 2003 and have a GMT+2 -- a 6 hour difference with respect to Japan; or, must have a GMT+0 -- or observe DST during October 10, 2003 and have a GMT-1 -- a 6 hours difference with respect to Bangladesh. Three pairs of nations fit the profile (none of which observe DST):
- Japan and Djibouti
- Bangladesh and Sierre Leone
- Bangladesh and Gambia
As the last condition indicated that the event surrounded a global political scenario in 2003, and Bangladesh, Sierre Leone and Gambia are considered 3rd world nations where I found no major political event occuring in 2003, the answer must involve Japan and one of its many involvements in regard to Djibouti. Thus...
Mr. Ambrose in Djibouti, Djibouti on 22:00 October 10, 2003 made the second call to Mr. Bruford in Tokyo, Japan where the date-time was 04:00 October 11, 2003.
Edited on March 26, 2006, 7:34 pm
Posted by Dej Mar
on 2006-03-26 18:47:07