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The Zamboni is an ice resurfacer invented by Frank Zamboni in the year 1949 to clean and resurface the ice in skating rinks. A Zamboni takes 20 minutes to resurface an Olympic-sized skating rink. What is the minimum number of Zambonis working together at the same rate that could resurface an Olympicsized skating rink in 5 minutes or less?

The Zamboni is an ice resurfacer invented by Frank Zamboni in the year 19491949 to clean and resurface the ice in skating rinks. A Zamboni takes 2020 minutes to resurface an Olympic-sized skating rink. What is the minimum number of Zambonis working together at the same rate that could resurface an Olympicsized skating rink in 55 minutes or less?

Full solution

Q. The Zamboni is an ice resurfacer invented by Frank Zamboni in the year 19491949 to clean and resurface the ice in skating rinks. A Zamboni takes 2020 minutes to resurface an Olympic-sized skating rink. What is the minimum number of Zambonis working together at the same rate that could resurface an Olympicsized skating rink in 55 minutes or less?
  1. Problem Understanding: Understand the problem.\newlineWe need to find the minimum number of Zambonis that can resurface the ice in 55 minutes or less, given that one Zamboni takes 2020 minutes to do the job alone.
  2. Comparison of Speed: Determine how many times faster the team of Zambonis needs to be compared to a single Zamboni.\newlineA single Zamboni takes 2020 minutes, so to do it in 55 minutes or less, \newline20minutes5minutes=4\frac{20 \, \text{minutes}}{5 \,\text{minutes}} = 4 \newline The team must work 44 times faster.
  3. Number of Zambonis Needed: Calculate the number of Zambonis needed. \newline 11 Zamboni ×4=4\times 4 = 4 Zambonis \newlineIf one Zamboni takes 2020 minutes, then to be 44 times faster, we need 44 Zambonis working together.

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