Fifty six men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work ?
Fifty six men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work ?
Fifty six men can complete a piece of work in 24 days. In how many days can 42 men complete the same piece of work ?
Akilesh Kharvi ? May 29 '2017 at 9:57
Answer is : 32
Explanation:
\(\therefore\) 56 men can complete 1 work in 24days.
1 man complete the work in 24 × 56 days.
42 men will do the same work in
\(= \frac{24\times56}{42} = \text{ 32 days}\)
9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. Inhow many days can 4 men, 12 women and 10 children together complete the piece of work ?
Akilesh Kharvi ? May 29 '2017 at 9:4
Answer is : 81
Explanation:
Clearly,
9 × 360 children = 18 × 72 men
= 12 × 162 women
=>45 children =18 men = 27 women
=>5 children = 2 men = 3 women
Now, 4 men +12 women +10 children
= 4 men + 8 men + 4 men = 16 men
\(\therefore\)18 men can complete the work in 72 days.
16 men can complete the work in\( =\frac{ 18\times72}{16}\) = 81 days
12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required ?
Akilesh Kharvi ? May 27 '2017 at 16:15
Answer is : 70
Explanation:
12 men can complete the work in 36 days.
12 × 36 men can complete the work in 1day.
Again, 18 women can complete the work in 60 days.
18 × 60 women can complete the work in1 day.
12 × 36 men = 18 × 60 women
2 men = 5 women
Now, 8 men + 20 women
= (4 × 5 + 20) women = 40 women
18 women complete the work in 60 days.
40 womens’ 20 days’ work
\(=\frac{40\times20}{18\times60}= \frac{20}{27}\)
\(\therefore\) Remaining work = \(1 - \frac{20}{27}= \frac{7}{27}\)
\(\therefore 18 \times 60\) women do 1 work in 1 day.
\(\therefore\) 1 woman does \(=\frac{ 1}{80 \times 60}\) Work in 1 day
\(\therefore\) 1 woman does in 4 days
\(= \frac{4}{180\times60} = \frac{1}{18\times15} \) work
\(\therefore \frac{1}{18 \times 15}\) work is done in 4 days by 1 woman
\(\therefore \frac{7}{27}\) work is done in 4 days by = \(\frac{18\times15\times7}{27}\)
= 70 days
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