Fill in the blanks.
(i) A tap can fill a tank in 6 hours. The part of the tank filled in 1 hour is……………
(ii) A and B working together can finish a piece of work in 6 hours while A alone can do it in 9 hours. B alone can do it in ……….. hours.
(iii) A can do a work in 16 hours and B alone can do it in 24 hours. If A, B and C working together can finish it in 8 hours, then C alone can finish it in ……….. hours.
(iv) If A's one day's work is 
, then A can finish the whole work in……… days.
(i) 
If A can do a piece of work in n days, then A can do 
of the work in on day
(ii) 18
Number of hours A required do a piece of work : 9 hours
Let number of hours B required do a piece of work : X hours
Number of hours required by A and B together to do a piece of work : 6 hours
Work done by A in one hour: 
Work done by B in one hour: 
Work done by A and B together in a hour: 
Work done by A and B together in one hour: 
= 
= 
= 
⇒ 6X +54 = 9X
⇒ 3X = 54
⇒ X = 
= 18
B can do the work 18 hours
(iii) 48
Number of hours A required do a piece of work : 16 hours
Number of hours B required do a piece of work : 24 hours
Let number of hours C required to do a piece of work : X hours
Number of hours required by A, B and C together to do a piece of work : 8 hours
Work done by A in one hour: 
Work done by B in one hour: 
Work done by C in one hour: 
Work done by A, B and C together in a one hour : 
Work done by A, B and C together in one hour : 
= 
= 
= 
= 
⇒ 40X +384 = 48X
⇒ 8X = 384
⇒ X = 
= 48 hours
C can do the work 48 hours.
(iv) 
If A can do a piece of work in n days, then A can do 
of the work in on day
= 