AMC 8 Daily Practice Round 8
Complete problem set with solutions and individual problem pages
Two projects of equal workload are completed separately by Team and Team . On sunny days, Team can finish a project in days, and Team can finish a project in days. On rainy days, Team ’s work efficiency decreases by , and Team ’s work efficiency decreases by . In the end, the two teams finish their projects at the same time.
What is the difference between the number of sunny days and rainy days during the work period?
- A.
- B.
- C.
- D.
- E.
On sunny days, the work efficiencies of Team and Team are and respectively, so Team ’s efficiency is higher by
On rainy days, their work efficiencies are and respectively, so Team ’s efficiency is higher by
From we know that in sunny days and rainy days, the progress of the two teams is the same.
During this time, they complete of the work.
Therefore, during the construction period, there were sunny days and rainy days. The difference is .
