UP TGT Mathematics Commercial Mathematics Test Series - Part 4
Three pipes A, B and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B can fill...
Type: MCQ • Marks: 1
Three pipes A, B and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
Options
A. 1) 12 hours
B. 2) 16 hours
C. 3) 10 hours
D. 4) 14 hours
Explanation
Work done by A+B+C in 2 hours = 2/6 = 1/3. Remaining work = 2/3. (A+B) takes 7 hours for 2/3 work => (A+B)'s 1 hour work = 2/21. C's 1 hour work = (A+B+C) - (A+B) = 1/6 - 2/21 = (7-4)/42 = 3/42 = 1/14. Time taken by C alone = 14 hours.
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