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VTMO 2026 - Grade 6 - Final - SET 2 - Self-study Question 3

VTMO · VTMO 2026 - Grade 6 - Final - SET 2 - Self-study

Question 3

Two taps can fill a tank. The following plans each fill it:
• Plan 1: run tap A for 7 hours, close it, then run tap B for 14 hours.
• Plan 2: run tap A for 10 hours, close it, then run tap B for 2 hours.

For Plan 3, run tap A for 5 hours, close it, then run tap B. How long must tap B run?

Model clarification: each plan starts with the same empty tank; both taps have constant flow rates and no water is lost.

Question illustration