Work and Time

In Aptitude,  Work is defined as the amount of job assigned to an individual.While the Time is describe as the number of days or hours required to complete the task.  A very simple idea of time and work is that more individuals complete the work in less significant time, besides less number of people take much more time to complete the work. Additionally, a key perception that is referred in time work questions is the collective effectiveness of two or more people.

1. More men can do more work. Similarly, less men will do less work
2. More work takes more time. Similarly, less work takes less time
3. More man can do work in less time, Similarly, less men can do work in more time

Question 1. Danis can do a piece of work in 80 days. How much part of the work he can do in 40 days?

Options

A. $\frac{1}{5}$

B. $\frac{3}{8}$

C. $\frac{1}{2}$

D. $\frac{1}{3}$

Solution :

1 day work of Danish $ = \frac{1}{80}$
Therefore, in 40 days he can do $ 40 × \frac{1}{80} = \frac{40}{80} = (\frac{1}{2})^{th}$ part of work.

Correct option: C

Question 1. A and B can do a job together in 7 days. A is $2$ times as efficient as B. The same job can be done by A alone in :

Options

A. $9\frac{1}{2}$ days

B. $11$ days

C. $12\frac{1}{3}$ days

D. $16\frac{2}{3}$ days

Solution :

(A's 1 day's work) : (B's 1 day's work) $= 2 : 1 $
Let A's and B's 1 day's work be 2x and x respectively.
Then, $2x + x = \frac{1}{7} \implies 3x = \frac{1}{7} \implies x = \frac{1}{21}$
A's one days work = $2 \times \frac{1}{21}$ A will alone complete the work in ${\frac{1}{\frac{2}{21}}} = \frac{21}{2} = 10\frac{1}{2} = 11 days$

Correct option: B

Question 1. Vivek can do a piece of work in 50 days. He works for 15 days and then leaves. Trisha comes and finishes the remaining work in 35 days. In how many days Trisha alone can finish the work?

Options

A. 60 days

B. 10 days

C. 50 days

D. 45 days

Solution :

Vivek's 1 day work $= \frac{1}{50}$
Work done by Vivek in 15 days $= 15 × \frac{1}{50} = \frac{3}{10}$
Therefore, remaining work $= 1 – \frac{3}{10} = \frac{7}{10}$
Trisha finishes this remaining $\frac{7}{10}$ work in 35 days.
Therefore, Trisha can finish the work in $\frac{35}{\frac{7}{10}} = 50$

Correct option: C

Question 1. Hetal’s one day work is $\frac{1}{20}$ and Avnika’s one day work is $\frac{1}{30}$ but with the help of Yash they finished the work in 10 days. For that work they got total of Rs. 5000. What will be the share of Yash?

Options

A. Rs. 833.33

B. Rs. 800

C. Rs. 235

D. Rs. 338.3

Solution :

Hetal’s total work done $= \frac{10}{20} = \frac{1}{2}$
Avnika’s total work $= \frac{10}{30} = \frac{1}{3}$
The work together completed in $\frac{1}{2} + \frac{1}{3} = \frac{5}{6}$
Remaining work $= 1 – \frac{5}{6} = \frac{1}{6}$
Therefore, Yash's share $= 5000 × \frac{1}{6} = \frac{5000}{6}$ = Rs 833.33

Correct option: A