Q15. 20 women can do a work in 16 days, 16 men can complete the same work in 15 days. Find the ratio between the capacity of a man and a woman?
A. 5 : 4
B. 3 : 2
C. 3 : 5
D. 4 : 3
Answer- Option D
Explanation-
(20 x 16) women can complete the work in 1 day. 1 woman's 1 day's work =
1 320
.
(16 x 15) men can complete the work in 1 day. 1 man's 1 day's work =
1 240
.
So, required ratio =
1 240
:
1 320
= 4 : 3.
Q16. P can complete a job in 60 days less than Q and thus thrice as good a workman as Q. If both are working together in how many days will they complete this work?
A. 12 days
B. 13 days
C. 22.5 days
D. 14.5 days
Answer- Option C
Explanation-
Ratio of times taken by P and Q = 1 : 3. If difference of time is 2 days, Q takes 3 days. If difference of time is 60 days, Q takes
3 2
x 60
=90 days.
So, P takes 30 days to do the work. P's 1 day's work =
1 30
, Q's 1 day's work =
1 90
.
(P + Q)'s 1 day's work =
1 30
+
1 90
=
2 45
.
P and Q together can do the work in =
45 2
= 22
1 2
days.
Q17. Rohan and Mohan undertook work for Rs. 3200. With the help of Sohan, they finished it in 3 days if Rohan and Mohan can do this work in 6 days and 8 days respectively, what is Sohan's share?
A. Rs. 400
B. Rs. 450
C. Rs. 500
D. Rs. 600
Answer- Option A
Explanation-
Sohan's 1 day's work =
1 3
-
1 6
+
1 8
=
1 24
.
Rohan's wages : Mohan's wages : Sohan's wages =
1 6
:
1 8
:
1 24
= 4 : 3 : 1
.
Sohan's share = Rs.
1 8
x 3200
= Rs. 400.
Q18. Painter P can paint a house in 16 days while painter Q alone in 12 days. Starting with P they work on alternate days, in how many days will they complete it?
A. 15 days
B. 12 days
C. 16 days
D. 13 days
Answer- Option D
Explanation-
(Painter P + Painter Q)'s 2 days work =
1 16
+
1 12
=
7 48
.
Work done in 6 pairs of days =
7 48
x 6
=
7 8
.
Remaining work =
1 -
7 8
=
1 8
.
Work done by P on 13th day =
1 16
. Remaining work =
1 8
-
1 16
=
1 16
.
On 14th day, it is Q's turn.
1 12
work is done by Q.
1 16
work is done by Q in
12 x
1 16
=
3 4
day.
Total time taken =
13
3 4
days.
Q19. 7 men can construct a road in 12 days. They started the work in after five days, two men left. In how many days will the work be completed by the remaining men?
A. 7
B. 8
C. 9
D. None of these
Answer- Option D
Explanation-
(7 x 12) men can complete the work in 1 day. 1 man's 1 day's work =
1 84
.
7 men's 5 days' work =
1 12
x 5
=
5 12
.
Remaining work =
1 -
5 12
=
7 12
.
5 men's 1 day's work =
1 84
x 5
=
5 84
.
5 84
work is done by them in 1 day.
7 12
work is done by them in
84 5
x
7 12
= 9
4 5
days.
Q20. X alone can finish work in 23 days and is 30% more efficient than Y. If both are working together in how many days will they complete this work?
A. 15 days
B. 13 days
C. 19 days
D. 18 days
Answer- Option B
Explanation-
Ratio of times taken by X and Y = 100 : 130 = 10 : 13. Suppose Y takes x days to do the work. Then, 10 : 13 :: 23 : x x =
299 10
.
X's 1 day's work =
1 23
; Y's 1 day's work =
10 299
.
(X + Y)'s 1 day's work =
1 23
+
10 299
=
1 13
.
X and Y together can complete the job in 13 days.
Q21. Carpenter A can build furniture in 10 days and Carpenter B in 15 days. They work for five days and rest of the work was finished by Carpenter C in 2 days. If they were paid Rs. 1500 for the whole work, find the daily wages of B and C?
A. Rs. 225
B. Rs. 300
C. Rs. 245
D. Rs. 150
Answer- Option A
Explanation-
Part of the work done by A =
1 10
x 5 =
1 2
.
Part of the work done by B =
1 15
x 5 =
1 3
.
Part of work done by C = 1 -
1 2
+
1 3
=
1 6
So, (A's share) : (B's share) : (C's share) =
1 2
:
1 3
:
1 6
= 3 : 2 : 1. A's share = Rs.
3 6
* 1500
= Rs. 750,
B's share = Rs.
2 6
* 1500
= Rs. 500,
C's share = Rs.
1 6
* 1500
= Rs. 250.
A's daily wages = Rs.
750 5
= Rs. 150
; B's daily wages = Rs.
500 5
= Rs. 100
; C's daily wages =
250 2
= Rs. 125.
Daily wages of B and C = Rs. (100 + 125) = Rs. 225.
1 woman's 1 day's work =
days
x = 
