Model 5 Split & Fraction of work Practice Questions Answers Test with Solutions & More Shortcuts
time & work PRACTICE TEST [7 - EXERCISES]
Model 1 Basics on Time & Work
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Model 3 Man leaves & joins
Model 4 Working with Man, Woman, Child
Model 5 Split & Fraction of work
Model 6 Efficiency of the worker
Model 7 Working with individual wages
Question : 6 [SSC Constable (GD) 2012]
A can do $1/6$ of a work in 5 days and B can do $2/5$ of the work in 8 days. In how many days, can both A and B together do the work?
a) 13 days
b) 12 days
c) 20 days
d) 15 days
Answer »Answer: (b)
Using basics of Rule 2,
Time taken by A to finish the work
= 5 × 6 = 30 days
Time taken by B to complete the work
= ${8 × 5}/2$ = 20 days
(A + B)'s 1 day’s work
= $1/30 + 1/20 = {2 + 3}/60 = 1/12$
Required time = 12 days
Question : 7 [SSC CGL Tier-I 2010]
A can complete $1/3$ of a work in 5 days and B, $2/5$ of the work in 10 days. In how many days both A and B together can complete the work ?
a) 9$3/8$ days
b) 10 days
c) 7$1/2$ days
d) 8$4/5$ days
Answer »Answer: (a)
Using Rule 2,
Time taken by A alone in doing the work = 15 days
Time taken by B alone in doing the work
= ${10 × 5}/2$ = 25 days
(A + B)’s 1 day’s work
= $1/15 + 1/25 = {5 + 3}/75 = 8/75$
Hence, the work will be completed in $75/8 = 9{3}/8$ days.
Question : 8 [SSC MTS 2013]
A can do one and a half as much of a work which B can do in one day. B alone can do a piece of work in 18 days. They together can finish that work in
a) 11$1/5$ days
b) 10$1/5$ days
c) 7$1/5$ days
d) 5$1/5$ days
Answer »Answer: (c)
Using Rule 2,
Ratio of efficiency of A and B = 3 : 2
Ratio of time taken = 2 : 3
Time taken by A
= $2/3$ × 18 = 12 days
(A + B)’s 1 day’s work
= $1/12 + 1/18 = {3 + 2}/36 = 5/36$
Required time = $36/5 = 7{1}/5$ days
Question : 9 [SSC CGL Tier-II 2016]
John does $1/2$ piece of work in 3 hours, Joe does $1/4$ of the remaining work in 1 hour and George finishes remaining work in 5 hours. How long would it have taken the three working together to do the work ?
a) 3$1/7$ hours
b) 2$1/7$ hours
c) 2$8/11$ hours
d) 3$8/11$hours
Answer »Answer: (c)
According to the question,
John does $1/2$ work in 3 hours.
Time taken by John in doing whole work = 6 hours
Joe does $1/8$ work in 1 hour.
Time taken by Joe in doing whole work = 8 hours
Remaining work
= $1/2 - 1/8 = {4 - 1}/8 = 3/8$ parts
Time taken by George
= ${8 × 5}/3 = 40/3$ hours
Work done by all three in 1 hour
= $1/6 + 1/8 + 3/40$
= ${20 + 15 + 9}/120 = 44/120 = 11/30$
Required time = $30/11 = 2{8}/11$ hours
Question : 10 [SSC CGL Tier-I 2015]
A can do a work in 10 days and B in 20 days. If they together work on it for 5 days, then the fraction of the work that is left is
a) $4/3$
b) $3/4$
c) $1/4$
d) $3/20$
Answer »Answer: (c)
Using Rule 2
Work done by A and B in 1 day
= $1/10 + 1/20 = {2 + 1}/20 = 3/20$
(A + B)’s 5 days’ work
= ${5 × 3}/20 = 3/4$
Remaining work = $1 - 3/4 = 1/4$
IMPORTANT quantitative aptitude EXERCISES
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Top 199+ Time and Work Efficiency Based Aptitude MCQ Quiz »
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New 299+ Time and Work Aptitude Test On Individual Wages »
Model 5 Split & Fraction of work Shortcuts »
Click to Read...Model 5 Split & Fraction of work Online Quiz
Click to Start..time & work Shortcuts and Techniques with Examples
-
Model 1 Basics on Time & Work
Defination & Shortcuts … -
Model 2 Formula method ‘M1D1W1 = M2D2W2’
Defination & Shortcuts … -
Model 3 Man leaves & joins
Defination & Shortcuts … -
Model 4 Working with Man, Woman, Child
Defination & Shortcuts … -
Model 5 Split & Fraction of work
Defination & Shortcuts … -
Model 6 Efficiency of the worker
Defination & Shortcuts … -
Model 7 Working with individual wages
Defination & Shortcuts …
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