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IntroductionGT package Math Olympiad
Math Olympiad 1
Math Olympiad 2
Math Olympiad 3
Math Olympiad 4
Math Olympiad 5
Week 1: Number SubstitutionWeek 2: MeasurementsWeek 3: Sum, Difference & MultipleWeek 4: Fraction & DecimalsWeek 5: Quiz 1Week 6: Solve EquationWeek 7: Geometry (1)Week 8: Counting ProblemsWeek 9: Number CalculationWeek 10: Quiz 2Week 11: Percentage ProblemsWeek 12: Distance, Speed & TimeWeek 13: Work ProblemsWeek 14: Divisibility and RemainderWeek 15: Quiz 3Week 16: Least and MostWeek 17: Word Problems (1)Week 18: Number Thinking (1)Week 19: Combination & Probability (1)Week 20: Quiz 4Week 21: AlgebraWeek 22: Time ProblemsWeek 23: Average ProblemsWeek 24: Multiple & FactorWeek 25: Quiz 5Week 26: Mid-Term ExamWeek 27: Ratio ProblemsWeek 28: Number Thinking (2)Week 29: Data AnalysisWeek 30: Age ProblemsWeek 31: Quiz 6Week 32: Number SequencesWeek 33: Pattern ProblemWeek 34: "Unsolvable" EquationsWeek 35: Money ProblemsWeek 36: Quiz 7Week 37: Geometry(2)Week 38: Logical ReasoningWeek 39: Word Problem (2)Week 40: Number Thinking (3)Week 41: Quiz 8Week 42: Combination & Probability (2)Week 43: Distance, Speed & Time (2)Week 44: Challenge Geometry Questions Week 45: Sum, Difference & Multiple (2)Week 46: Quiz 9Week 47: Probability ProblemsWeek 48: Distance, Speed & Time (3)Week 49: Price & CostWeek 50: Challenge ProblemsWeek 51: Quiz 10Week 52: Final Exam
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Distance, Speed & Time (2)( Week 43 Evaluation)
1.   In a train station, there are two tracks (A and B) going to a city. The earliest trains on both tracks leave for the city at 6:55 AM. After that the trains on track A leave for the city every 7 minutes and the trains on track B leave for the city every 11 minutes. If Smith arrives at the station at 8:45 AM, how many minutes will he have to wait for the next train?
2.  Tom biked from his home to his high school at 5.8 miles per hour. When he returned home from school, using the same route, he biked at 4.2 miles per hour. If the total round trip took 30 minutes, what was the distance from his home to his school (in miles)?
3.  A ship can travel 24 mph in still water. It took the ship 24 hours to travel 288 miles against a current. What is the speed of the current? mph. How long will it take for the ship to travel the same distance with the current (downstream)? hours.
4.  The distance between place A and place B is 160 miles. Sofia started to drive from place A to place B at 08:00 AM. The speed during the first half of the trip was 56 mph. The speed during the second half of the trip was 24 mph. How long (in hours) did it take Sofia to get to place B from place A?
5.  George climbed a mountain and then immediately descended on the same route. It took a total of 333 minutes. He descended the mountain 5 feet per minute faster than when climbing up. If the time taken for the descending was 148 minutes, what was the total distance (in feet) for the descending?
6.  Two trains are driving toward each other. The faster one is driving at the speed of 26 meters per second. Its length is 120 meters. The slower one is driving at the speed of 14 meters per second. Its length is 360 meters. How many seconds will it take from the time they meet to the time they separate completely?
7.  Tom went a round trip from his home to an airport to pick up a friend. It took a total of 3.5 hours including waiting 1 hour in the airport. He was able to drive 5 km/h faster to the airport than back from the airport. If the time was taken to get airport was 1 hours, what was the distance (in km) from Tom's home to the airport?
8.  Josh can row 1680 meters against the current (upstream) in 14 minutes and row the same distance with the current (downstream) in 12 minutes. Find the speed of the current in meters per minute?
9.  Julia drives at 48 miles per hour from place A to place B. After driving for 5 hours, the rest of the trip is 50 miles less than half of the trip. If Julia drives at 20 miles per hour from then on, how many more hours will it take Julia to get to place B?
10.  It took Jessica 100 minutes to get to place B from place A, and it took Steve 80 minutes to get to place B from place A. 17 minutes after Jessica started out from place A, Steve also started out from place A. How long (in minutes) would it take for Steve to catch up with Jessica?



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