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Hose A and B can fill a pool in 5 and 10 minutes respectively. After 2 minutes, hose B gets blocked. How much time hose A take to fill the remaining pool?

Hose A and B can fill a pool in 5 and 10 minutes respectively. After 2 minutes, hose B gets blocked. How much time hose A take to fill the remaining pool? Correct Answer 2 minutes

Given,

Hose A and B can fill a pool in 5 and 10 min respectively.

Concept:/Formula:

Total work = Efficiency × Time taken

Calculation:

Let total work be LCM of (10, 5) = 10 unit

Efficiency of A = 2 units

Efficiency of B = 1 unit

Work done by A and B in 2 min = (2 + 1) × 2 = 6 unit

⇒ Remaining work = 10 – 6 = 4 unit

∴ A completes the remaining work in 4/2 = 2 min

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