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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 Evaluation)
1.  A ship can travel 39 km/h (kilometers per hour) with the current in a river, and 37 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 98 seconds to cross (from entering to completely exiting the bridge) a 833-meter long bridge. At the same speed, it needs 93 seconds to cross a 748-meter long tunnel. What is the length of the train in meters?
3.  The distance between place A and place B is 245 yards. Sofia starts out at point A, and Andy starts out at point B. If they walk towards each other, they will meet after 7 minutes. If they walk in the same direction, Andy will catch up with Sofia after 35 minutes. How many yards per minute does Andy walk? yards/minute. How many yards per minute does Sofia walk? yards/minute.
4.  George and his dad were riding a tandem bike in a round training trail. During the first lap, only George pedaled and the tandem bike traveled at 2 MPH. During the second lap, only his dad pedaled and the tandem bike traveled at 6 MPH. During the third lap, George and his dad both pedaled and the tandem bike traveled at 12 MPH. What was the average speed (in MPH) for the entire 3 laps?
5.  The distance between place A and place B is 370 miles. A car drove at an average speed of 25 mph from place A to place B. During the trip, the car broke down, and it took 2 hours to fix it. In order to get to place B on time, the car has to drive at 30 mph. How many miles away from place A was the car when it broke down?
6.  George was running on a 2838-meter trail. He ran at 6 meters per second for the first half time and at 5 meters per second for the other half time. How many seconds did it take for him to finish the 2nd half of the distance?
7.  The ratio of Susan's walking speed to David's walking speed was 10:6. If they walked towards each other at the same time, they would meet each other after 16 minutes. If they started out at the same time to the same direction, and Susan was behind David, how long (in minutes) would it take Susan to catch up with David?
8.  Ben, Josh, and Rene decided to go to place B from place A. Ben and Josh started out at 8:00 am. Ben drove at 40 mph, and Josh drove at 20 mph. Rene started out at 10:00 am. Ben and Rene arrived at place B at noon together. How many minutes later did Rene catch up with Josh after Rene started out? Round up to the next whole minutes if the result is a decimal.
9.  Rene walked at 39 meters per minute, Jay walked at 44 meters per minute, and Michael walked at 49 meters per minute. Rene and Jay started out from place B together, and Michael started out from place A (behind B) at the same time in same direction as Rene and Jay. Some time later, he caught up with Rene, and then 10 more minutes later, he caught up with Jay. Find the distance (in meters) between place A and place B.
10.  A car was driven at an average speed of 25 miles per hour from place A to place B. After it got to place B, it was driven back immediately at an average speed of 75 miles per hour. The total time of the entire trip was 8 hours. How far (in miles) was the distance between place A and place B?



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