HOTS Mathematics Primary 5 Average

A swim team at Bedok Swimming Complex has 8 members. Their average training session lasts 42 minutes. When Priya joins the team, the new average drops to 41 minutes. Later, 3 members who each train for exactly 45 minutes per session leave the team. What is the new average training time per session for the remaining members?

A 33 min
B 39 min
C 41 min
D 42 min
Show Worked Solution

Worked Solution

Step 1: Find the total training time for the original 8 members. 8 × 42 = 336 minutes Step 2: Find the total training time after Priya joins (9 members, average = 41 min). 9 × 41 = 369 minutes Step 3: Find Priya's training time per session. 369 − 336 = 33 minutes Step 4: Find the total training time removed when the 3 members leave. 3 × 45 = 135 minutes Step 5: Find the new total training time after they leave. 369 − 135 = 234 minutes Step 6: Find the number of remaining members. 9 − 3 = 6 members Step 7: Compute the new average. 234 ÷ 6 = 39 minutes The new average training time is 39 minutes per session.

Correct answer: 39 min

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