Difference between revisions of "2015 UMO Problems/Problem 4"
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==Problem == | ==Problem == | ||
− | + | Anastasia and Balthazar need to go to the grocery store, which is <math>100</math> km away. Anastasia | |
− | + | walks at <math>5</math> km/hr, and Balthazar walks at <math>4</math> km/hr. However, they also own a single bike, and | |
− | + | each of them bikes at <math>10</math> km/hr. They are allowed to go forwards or backwards, and the bike | |
+ | will not get stolen if they drop it off along the way for the other person to pick up. What is | ||
+ | the shortest amount of time necessary for both of them to get to the grocery store? | ||
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== See Also == | == See Also == | ||
− | {{UMO box|year=2015|num-b= | + | {{UMO box|year=2015|num-b=3|num-a=5}} |
− | [[Category:]] | + | [[Category:Intermediate Algebra Problems]] |
Latest revision as of 02:01, 6 November 2015
Problem
Anastasia and Balthazar need to go to the grocery store, which is km away. Anastasia walks at km/hr, and Balthazar walks at km/hr. However, they also own a single bike, and each of them bikes at km/hr. They are allowed to go forwards or backwards, and the bike will not get stolen if they drop it off along the way for the other person to pick up. What is the shortest amount of time necessary for both of them to get to the grocery store?
Solution
See Also
2015 UMO (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All UMO Problems and Solutions |