Pipes P and Q can fill a tank in 12 hours and 16 hours respectively, a

1.	Pipes P and Q can fill a tank in 12 hours and 16 hours respectively, and R can empty it in 8 hours. If all three are opened at 8:00 am, at what time will one-fourth of the tank be filled? 1. 1:00 pm2. 3:00 pm3. 8:00 pm4. 10:00 pm
Answer» Correct Answer - Option 3 : 8:00 pm Given: P and Q can fill a tank in 12 hours and 16 hours respectively, R can empty in 8 hours. Calculation: Take capacity of tank is LCM of (12, 16, and 8) = 48 unit P fill in one hour = 48/12 = 4 unit Q fill in one hour = 48/16 = 3 unit R empty in one hour = 48/8 = 6 unit Now, All work together then fill in one hour = 4 + 3 - 6 = 1 unit Then, Time taken to fill 1/4th of tank by P, Q and R together ⇒ (48 × 1/4) ÷ 1 ⇒ 12 hour ∴ The 1/4th part of tank filled at 8:00 pm.

Pipes P and Q can fill a tank in 12 hours and 16 hours respectively, and R can empty it in 8 hours. If all three are opened at 8:00 am, at what time will one-fourth of the tank be filled? 1. 1:00 pm2. 3:00 pm3. 8:00 pm4. 10:00 pm

Answer» Correct Answer - Option 3 : 8:00 pm

Given:

P and Q can fill a tank in 12 hours and 16 hours respectively, R can empty in 8 hours.

Calculation:

Take capacity of tank is LCM of (12, 16, and 8) = 48 unit

P fill in one hour = 48/12 = 4 unit

Q fill in one hour = 48/16 = 3 unit

R empty in one hour = 48/8 = 6 unit

Now,

All work together then fill in one hour = 4 + 3 - 6 = 1 unit

Then, Time taken to fill 1/4th of tank by P, Q and R together

⇒ (48 × 1/4) ÷ 1

⇒ 12 hour

∴ The 1/4th part of tank filled at 8:00 pm.

Discussion

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