Select Page
• This is an assessment test.
• To draw maximum benefit, study the concepts for the topic concerned.
• Kindly take the tests in this series with a pre-defined schedule.

## Arithmetic: Time and Work Test-8

Congratulations - you have completed Arithmetic: Time and Work Test-8.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
 Question 1
Manoj and Ajita can do a job alone in 10 days and 12 days respectively. Manoj starts the work and after 6 days Ajita also joins to finish the work together. For how many days did Ajita actually worked on the job?
 A 23/11 B 21/11 C 22/11 D 31/12
Question 1 Explanation:
For the 6 days work done by Manoj= 6/10 = 3/5
Therefore the remaining work = 1 â€“ 3/5 = 2/5
Now they both can complete the remaining work in 2/5{(10 x 12)/(10+12)}
Now question asks about work done byÂ  AjitaÂ  so Ajita did work for
22/11 days
 Question 2
Ashokan is thrice as good a workman as Nitin and is therefore able to finish a piece of work in 40 days Â less than Nitin. Find the time in which they can do it working together.
 A 15 days B 7 days C 16 days D 13 days
Question 2 Explanation:
Let us assume that the work done by Ashokan = w days
So the time taken by Nitin = 3w
So according to the question
3w â€“ w = 40
W = 20 day
And 3w = 60 days
So therefore together they can finish the work in {(20 x 60)/(20 + 60)} = 15days
 Question 3
A alone would take 8 more days to complete the job than if both A and B worked together. If B worked alone, he took four and half more days to complete the job than if A and B worked together. How many days would they take if both A and B worked together?
 A 8 days B 5 days C 2 days D 6 days
Question 3 Explanation:
Let us assume both can complete the work in w days
And we are given the statements that A can complete the work in 8 more days in comparison to when they worked together.
So, we can say that A can complete the work in (w+8) days
In one day, A completes 1/ (w+8) units of work.
Similarly, in one day, B completes 1/(w+4.5) units of work.
Combined work by A and B in one day = {1/ (w+8)} + {1/(w+4.5)}
Now this should be equal to 1/w units of work.
Equating the two,
{1/ (w+8)} + {1/(w+4.5)} = 1/w
We can see that 6 satisfies the above equation.
Thus, option (d) is the correct answer.
 Question 4
A can do a piece of work in 40 days. He starts working, but having some other engagements he drops out after 5 days. Thereafter, B completes this work in 21 days. How many days would A and B take to complete this work working together?
 A 16 days B 15 days C 17 days D 11 days
Question 4 Explanation:
Work done by A in one day = 1/40
Work done by A in five days = 5/40
Therefore the remaining work = 1 â€“ 5/40 = 7/8
So from question we are given that this 7/8 work is done by B in 21 days
Work done by B in one day = 7/8 x 21 = 1/24
Work done by both in one day will be = 1/40 + 1/24 = 1/15
Hence together both would completes the work in 15 days .
 Question 5
Madhu takes twice as much time as Uma to complete a work and Ramesh does it in the same time as Madhu and Uma together would. If all three are working together, they can finish the work in 6 days. Then the time taken by Madhu to finish the work is ___?
 A 12 days B 14 days C 36 days D 40 days
Question 5 Explanation:
We will assume that Madhu can complete the work in 2D days
So Uma can complete the work in D days
So both they can complete the work in {2D x D/2D+D} = 2/3D
Now according to the question we can say that
1/2D + 1/D +3/2D = 1/6
6/2D = 1/6
2D = 36
So Madhu can do the work in 36 days
Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
There are 5 questions to complete.
 ← List →
 1 2 3 4 5 End

### Want to explore more Arithmetic Tests?

Starting 3rd June 2024, 7pm

Onwards

FREE CHEAT SHEET

Learn
How to Master VA-RC

This free (and highly detailed) cheat sheet will give you strategies to help you grow

No thanks, I don't want it.