 # Time and Work Questions with Solution Quiz 9 for SBI PO, IBPS PO Pre 2020 Exams at Smartkeeda

Important for :
1
A contractor hire Amitabh Arora to complete the work and Amitabh can do the work in 25 days. Amitabh worked for 5 days and after that Bindu singh completed it in 20 days. In how many days will Amitabh and Bindu together finish the work?
» Explain it
A
Amitabh can do a piece of work in 25 days.

In 5 days he can do 1/5th work.

 Rest work = 1 – 1 = 4 5 5

Bindu can complete 4/5th of the work in 20 days so he can do the complete work in 25 days.
 Amitabh's 1 day work = 1 25

 Bindu's 1 day work = 1 25

 (Amitabh and Bindu)'s 1 day work = 1 + 1 = 2 25 25 25

 Amitabh and Bindu together can complete the work in = 25 days 2

Hence, option A is correct.

2
Arnab is twice as fast as Bhanu, and Bhanu is one-third as fast as Chandu. If together they can complete work in 30 days, in how many days can Arnab, Bhanu and Chandu do the work respectively?
» Explain it
C
Let's Chandu can do the work in 2x days.

Bhanu can do it in 6x days and Arnab can do it in 3x days.

 1 + 1 + 1 = 1 ⇒ 3 + 1 + 2 = 1 ⇒ x = 30 2x 6x 3x 30 6x 30

So, the time taken to complete the work by Arnab, Bhanu and Chandu is 90, 180, 60 days respectively.

Hence, option C is correct.

3
Vijay can do a piece of work in 24  days. Rakesh can do the same work in 30 days and Vinod in 40 days. Vijay and Vinod worked for 4 days and handed it to Rakesh. Rakesh worked for some days and handed it again to Vijay and Vinod 6 days before completing the work. For how many days did Rakesh work?
» Explain it
B
Combined work done by Vijay and Vinod in  4 + 6 days (4 initial days and last 6 days)

 = 10 + 10 = 2 24 40 3

 ∴   Remaining work = 1 – 2 = 1 3 3

 Rakesh works for ( 1 × 30 ) = 10 days 3

Hence, option B is correct.

4
If three men and two women can do the same piece of work as two men and three women, then what is the ratio of efficiency of men and women?
» Explain it
C
Given,

Work done by (3 M + 2 W) = Work done by (2 M + 3 W)

⇒ 3 M – 2 M = 3 W – 2 W

⇒ 1 M = 1 W

⇒ M : W = 1 : 1

Option C is hence the correct answer.
5
A can finish a work in 5 days and B takes 4 days to do the same work. If the work is increased by 8 times, How many days will it take for both of them to finish the work if they work together?
» Explain it
D
Let the total work be 100%

A can do the work in 5 days, so he can do 20% work in 1 day

B can do the work in 4 days, so he can do 25% work in 1 day

Together they can do 20+25 = 45% work in 1 day

Now the work is increased by 800%, so the work becomes 900%

 The work can be done in 900 = 20 days 45

Hence, option D is correct.