Three taps P, Q and R can fill a tank in 20, 30 and 40 minutes respectively. If all the three taps are opened, then how much time (in minutes) it will take to completely fill the tank?a)b)12c)d)15Correct answer is option 'A'. Can you explain this answer?

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Three taps P, Q and R can fill a tank in 20, 30 and 40 minutes respectively. If all the three taps are opened, then how much time (in minutes) it will take to completely fill the tank?

a)
b)
12
c)
d)
15

Correct answer is option 'A'. Can you explain this answer?

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Three taps P, Q and R can fill a tank in 20, 30 and 40 minutes respect...

Time taken by tap P to fill the tank = 20 minutes
⇒ Part of tank filled in 1 minute = 1/20

Similarly, tank filled by Q and R in 1 min = 1/30 and 1/40 respectively.

⇒ Part of tank filled by all three taps in 1 minute = 1/20 + 1/30 + 1/40 = 13/120

∴ Tank will be completely filled in 120/13 minutes

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