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Problem 90

Algebra Difficulty 1.2 Multiple choice CEMC Cayley · Canada · 2021

Eugene swam on Sunday, Monday and Tuesday. On Monday, he swam for 30 minutes. On Tuesday, he swam for 45 minutes. His average swim time over the three days was 34 minutes. For how many minutes did he swim on Sunday?

Pick one

Official solution

Since Eugene swam three times and had an average swim time of 34 minutes, he swam for $3 \times 34 = 102$ minutes in total.

Since he swam for 30 minutes and 45 minutes on Monday and Tuesday, then on Sunday, he swam for $102 - 30 - 45 = 27$ minutes.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.