Directions: Read the following information to answer the question.
Solution:
If the man takes 60 hours to complete the work, then he will finish (1/60)th of the work in 1 hour.
Let us assume that his son takes x hours to finish the same work.
If they work together for 1 hour they will finish1/60+1/x=1/40 of the work.
Therefore, 1/x=1/120
The son, working alone would take 120 hours to complete the work.
Directions: Read the following information to answer the question.
Solution:
2 weeks work of Aditya, Vedus and Yuvraj =2[1/6+1/9+1/12]=26/36
Work left =1−26/36=10/36
Let Vedus works for x weeks with Yuvraj after Aditya.
⇒ x weeks work of both =x[1/9+1/12]=7x/36
The remaining work is done by Yuvraj in 1 week.
One week work of Yuvraj =1/12
⇒ 26/36+7x/36+1/12=1
⇒ 29+7x=36
⇒ x=1.
Vedus worked for 1 week with Yuvraj.
Directions: Read the following information to answer the question.
Solution:
Let the tap completely fill the tank (with no hole in it) in x min
⇒ 1/x−1/4=1/x+2
⇒ x= 2 minutes
Directions: Read the following information to answer the question.
Solution:
If A can do complete a project in 20 days, then A will complete 1/20)th of the project in a day.
Similarly, B will complete (1/30)th of the project in a day.
Let the total number of days taken to complete the project be x days.
Then, B would have worked for all x days, while A would have worked for (x–10) days.
Therefore, A would have completed x−10/20
of the project and B would have complete x/30of the project.
i.e.,
x−10/20+x/30=1
Solving for x, we get x= 18.
Directions: Read the following information to answer the question.
Solution:
Red light flashes every 20 seconds
Green light flashes every 24 seconds
Therefore, they will flash together every 120 seconds
In every hour they will flash 3600/120= 30 times