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Explanation:

P, Q and R together can complete the whole work in 6 hours.
∴ In 2 hours they would have completed 2/6 = 1/3rd of the tank

The remaining 2/3rd of the tank is filled by P and Q in 7 hours.
If P and Q can fill 2/3rd tank in 7 hours, they can fill the whole tank in 7 × 3/2 = 10.5 hours.
Combined efficiency of P and Q = 110.5

P, Q and R together can complete the whole work in 6 hours.
⇒ 16=1P+1Q+1R

Now, 1P+1Q is combined efficiency of P and Q which will be 110.5

16=110.5+1R

⇒ 1R=16-110.5

⇒ R = 42/3 = 14 hours

Hence, option (c). 


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