Job Solution | Pubali Bank Ltd

Pubali Bank Ltd. || SO/Office (09-06-2017) || 2017

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Mathematics:

Twenty –four men can complete a work in sixteen days. Thirty- two women can complete the same work in twenty – four days. Sixteen men and sixteen women started working and worked for twelve days. How many more are to be added to complete the remaining work in 2 days.

1 man's 1 day's work= $\frac{1}{16 \times 24} = \frac{1}{384} p a r t$

1 woman's I day's work= $\frac{1}{32 \times 24} = \frac{1}{768} p a r$

Work done in 12 days by 16 and 16 women

$= 12 (\frac{16}{384} + \frac{16}{768}) = 12 (\frac{1}{24} + \frac{1}{48}) = (\frac{1}{2} + \frac{1}{4}) = (\frac{2 + 1}{4}) = \frac{3}{4}$ part

Remaining work = $(1 - \frac{3}{4}) = (\frac{4 - 3}{4}) = \frac{1}{4}$ part

Again work done in 2 days by 16 men and 16 women

$2 (\frac{16}{384} \frac{16}{768}) = 2 (\frac{1}{24} + \frac{1}{48}) = (\frac{2 + 1}{24}) = \frac{3}{24} = \frac{1}{8}$ part

Now remaining work= $(\frac{1}{4} - \frac{1}{8}) = \frac{1}{8}$ part

Now, $\frac{1}{384}$ work is done in 1 day by = 1 man

$\frac{1}{8} w o r k i s d o n e i n 2 d a y b y = (384 \times \frac{1}{8} \times \frac{1}{2}) = 24$ men . ans

Mathematics:

The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination . The total time taken for the complete ot and from journey is 17 hours, covering a distance of 800 km Find the speed of the train in the onward journey.

Let, the speed of the train during returning journey be x kmph

Speed during onward journey= $(x + 25 % o f x) = (x + \frac{25 x}{100}) = \frac{5 x}{4}$ kmph

Distance covered in onward journey = $\frac{800}{2} = 400 k m$

Time taken by the train on onward journey= $\frac{\frac{400}{5 x}}{4}$ hours [As, time= Distance/Speed]

And time by the train in returning journey = $\frac{400}{x}$ hours

According to the question,

$\frac{\frac{400}{5 x}}{4} + \frac{400}{x} = 16 \Rightarrow (\frac{400}{1} \times \frac{4}{5 x}) + \frac{400}{x} = 16 \Rightarrow \frac{320}{x} + \frac{400}{x} = 16 \Rightarrow \frac{320 + 400}{x} = 16 \Rightarrow 16 x = 720 ∴ x = 45 k m p h$

Speed of the train in the onward journey= $\frac{5 x}{4} = \frac{5 \times 45}{4} = 56.25$ kmph

Job Solution | Pubali Bank Ltd

Pubali Bank Ltd. || SO/Office (09-06-2017) || 2017

All

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