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- 21. P can complete work in 12 days working 8 hrs a day. Q can complete the same work in 8 days working10 hrs a day. If both P and Q working 8 hrs a day in how many days can they complete the work?
A.5 6/11
B.6 5/11
C.5 5/11
D.6 6/11
Answer & Explanation
Answer: Option C 
P can complete work in 12 x 8 = 96 hrs
P’s 1 hour work is 1/96
Q can complete work in 10 x 8 = 80 hrs
Q’s 1 hour work is 1/80
(P+Q) ‘s 1 hour work is 1/90 + 1/80 = 11/480
they complete work in 480/11 hrs
no. of days of 8hrs each= 480/(11 x 8) = 5 5/11 days
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- 22. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days In what time can A alone do it?
A.80
B.100
C.120
D.150
Answer & Explanation
Answer: Option C
( A + B)’s one day work is 1/72
( C + B)’s one day work is 1/120
( A +C)’s one day work is 1/90
2(A+B+C )’s one day work is: (1/72 +1/120 +1/90) = 12/360 =1/30
(A+B+C )’s one day work is: 1/60
A’s 1 day work is =(1/60 - 1/120) = 1/120 =>120 days
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- 23. A and B can do a piece of work in 5 days; B and C can do it in 7 days and A and C can do it in 4 days who among these will take least time if put to do it alone?
A.A
B.B
C.C
D.data inadequate
Answer & Explanation
Answer: Option A
(A+B )’s one day work is 1/5
(B+C )’s one day work is 1/7
(A+C )’s one day work is 1/4
(A+B+C )’s one day work is(1/5 +1/7 +1/4)=83/140
A’s work alone is=83/140 – 1/7 =43/280
B’s work alone is=83/140 – 1/4 =13/280
C’s work alone is=83/140 – 1/5 =27/280
thus time taken by A,B and C is 280/43,280/13 and 280/27 days
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- 24. A can do a piece of work in 4hrs.B and C together can do it 3 hrs while A and C can do it in 2 hrs how long it will take for B?
A.8
B.10
C.12
D.24
Answer & Explanation
Answer: Option C
A’s 1 hr work is=1/4
(B+C )’s one hr work is 1/3
(A+C )’s one hr work is ½
(A+B+C )’s one hr work is (1/4+1/3)=7/12
B’s 1 hr work is 7/12-1/2 =1/12 =>12 days
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- 25. A can do piece of work in same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days then B alone could do it in?
A.15
B.20
C.25
D.30
Answer & Explanation
Answer: Option C
(A+B )’s one day work is1/10
C)’s one day work is 1/50
(A+B+C )’s one day work is (1/10 + 1/50)=6/50 = 3/25
A’s 1 day work = (B+C )’s one day work
so (A+B+C )’s one day work is =2*(A’s 1 day work) = 3/25
A’s one day work = 3/50
B’s one day work = (1/10 – 3/50) = 1/25 = 25
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