2024 AIME I Problems/Problem 1: Difference between revisions
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==Problem== | |||
Every morning Aya goes for a <math>9</math>-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of <math>s</math> kilometers per hour, the walk takes her 4 hours, including <math>t</math> minutes spent in the coffee shop. When she walks <math>s+2</math> kilometers per hour, the walk takes her 2 hours and 24 minutes, including <math>t</math> minutes spent in the coffee shop. Suppose Aya walks at <math>s+\frac{1}{2}</math> kilometers per hour. Find the number of minutes the walk takes her, including the <math>t</math> minutes spent in the coffee shop. | |||
==Solution 1== | |||
Revision as of 13:13, 2 February 2024
Problem
Every morning Aya goes for a 
-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of 
kilometers per hour, the walk takes her 4 hours, including 
minutes spent in the coffee shop. When she walks 
kilometers per hour, the walk takes her 2 hours and 24 minutes, including minutes spent in the coffee shop. Suppose Aya walks at 
kilometers per hour. Find the number of minutes the walk takes her, including the minutes spent in the coffee shop.
