Select the correct answerA father can do a job as fast as his two sons working together. If one son does the job in 3 hours and the other in 6 hours,the number of hours taken by the father,to do the job alone is?Options2134
Question
Select the correct answerA father can do a job as fast as his two sons working together. If one son does the job in 3 hours and the other in 6 hours,the number of hours taken by the father,to do the job alone is?Options2134
Solution
To solve this problem, we first need to find out how much of the job each son can do in an hour.
- The first son can do 1/3 of the job in an hour (since he completes the job in 3 hours).
- The second son can do 1/6 of the job in an hour (since he completes the job in 6 hours).
When they work together, they can do (1/3 + 1/6) of the job in an hour. This simplifies to 1/2 of the job in an hour.
Since the father can do the job as fast as his two sons working together, he can also do 1/2 of the job in an hour.
Therefore, it would take the father 2 hours to complete the job alone.
So, the correct answer is 2.
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