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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 (3)( Week 48 Practice)
1.  A ship can travel 51 km/h (kilometers per hour) with the current in a river, and 45 km/h against the current.
What is the speed of the ship in still water? km/h.
What is the speed of the current in the river? km/h.
2.  A train needs 136 seconds to cross (from entering to completely exiting the bridge) a 2968-meter long bridge. At the same speed, it needs 130 seconds to cross a 2800-meter long tunnel. What is the length of the train in meters?
3.  The distance between place A and place B is 900 yards. Nancy starts out at point A, and Jackson starts out at point B. If they walk towards each other, they will meet after 10 minutes. If they walk in the same direction, Jackson will catch up with Nancy after 90 minutes. How many yards per minute does Jackson walk? yards/minute. How many yards per minute does Nancy walk? yards/minute.
4.  Richard and his dad were riding a tandem bike in a round training trail. During the first lap, only Richard pedaled and the tandem bike traveled at 3 MPH. During the second lap, only his dad pedaled and the tandem bike traveled at 4.5 MPH. During the third lap, Richard and his dad both pedaled and the tandem bike traveled at 9 MPH. What was the average speed (in MPH) for the entire 3 laps?
5.  The ratio of Niconia's walking speed to George's walking speed was 12:8. If they walked towards each other at the same time, they would meet each other after 8 minutes. If they started out at the same time to the same direction, and Niconia was behind George, how long (in minutes) would it take Niconia to catch up with George?



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