Bissoy.com
Doctors Medicines MCQs Q&A

Rahul and Rohit are two men and Riya is a woman are entrusted with a task. Rohit needs 3 hours more to chop with the job than Rahul and Riya working together. Rahul, working alone would need as much time as the Rohit and Riya together. Rahul, working alone would spend 8 hours less than the double period of time Rohit would spend working alone. How much time Rahul, Rohit and Riya need to complete the task if they all work together?

Rahul and Rohit are two men and Riya is a woman are entrusted with a task. Rohit needs 3 hours more to chop with the job than Rahul and Riya working together. Rahul, working alone would need as much time as the Rohit and Riya together. Rahul, working alone would spend 8 hours less than the double period of time Rohit would spend working alone. How much time Rahul, Rohit and Riya need to complete the task if they all work together? Correct Answer 2.5

Given:

Rohit = Rahul + Riya + 3     ---(I)

Rahul = Rohit + Riya     ---(ii)

Rahul = 2Rohit – 8     ---(iii)

Calculations:

Riya = Rahul – Rohit     ---(iv)

From (i) & (ii)

⇒ Rohit – 3 = Rahul + Rahul – Rohit

⇒ 2Rohit – 3 = 2Rahul

⇒ 2Rohit – 3 = 2(2Rohit – 8)

⇒ Rohit = 6.5

From equation (iii)

⇒ Rahul = 2(6.5) – 8

⇒ Rahul = 5

From equation (ii)

⇒ Riya = Rahul – Rohit = 5 – 6.5 = -1.5

Negative sign indicates that Riya does not work.

When all three works together = (Rahul× Rohit)/ (Rahul + Rohit)

⇒ (5 × 5)/10 = 2.5 hours

Related Questions

Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together?
Paddy transplantation in Punjab is a very hard labor-intensive back-breaking job. In the transplant season, teams of special people swarm the entire rural landscape employed by the farmers and can be seen laboring away in the fields under the hot sweltering sun. Farmer Jagtar Singh has a full-time help at his sprawling farm who goes by the name of Hari, and who hails from Allahabad, UP. During the paddy transplant season, it is up to Hari to rope in his brothers, sons, and cousins from his native village to complete the task well in time. All his people are skillful and masters of the trade and equally efficient at their jobs. So, this past season, this is how the work went. Hari started the work and after 't' hours was joined in by his brother Jaggi. After another 't' hours, Neelu, their cousin, also jumped into the fray. So, after every 't' hours, 1 person kept on joining the team of already working men, and this process kept on continuing till the completion of the work. The last person worked for 't' hours. In the last season, the very same men had completed the same work working 2 shifts of 12 hours all of them working simultaneously owing to some peculiar weather conditions and time constraints. Jagtar Singh is a fair and just paymaster which is why he faces no labor shortage at this crucial time and which is why the whole 'Hari clan' are more than happy to work for him and are at his beck and call. He pays each of them individually proportional to the work done by them. This time around, Hari received 11 times as much as Surinder, his eldest son, who was the last person to join in. In how much time was the work completed?
Two friends Raj and Rohit work in a factory. If Rohit worked alone, he would need 8 hours more to complete the work than if they both worked together. now If Raj worked alone, it would need 4.5 hours more to complete the work than they both working together. what time would it take Raj alone to complete the work?
Three friends Anne, Bob and Chris work together to do a certain job. Time it takes them to do the work together to do a certain job. The it takes them to do the work together is 6 hours less than Anne would have take alone, 1 hour less than Bob would have taken alone and half the time Chris would have taken working alone text. How long did it take them to complete the job, working together ?
Which one of the following is the correct sequence of various stages of operating cycle of a manufacturing company?  1. Raw material conversion period, work-in-progress conversion period, Finished goods conversion period, Receivables conversion period 2. Raw material conversion period, work-in-progress conversion period, Creditors payment period, Receivables conversion period 3. Creditor payment period. Raw material conversion period, Receivables conversion period, work-in- progress conversion period 4. Raw material conversion period, Finished goods conversion period, work-in- progress conversion period. Receivables conversion period 
If Arif works alone he will take 20 more hours to complete a task than if he works with Babu to complete the task. If Babu work alone, he will take 5 more hours to complete the task than if he works with Arif to complete the task. What is the ratio of the time taken by Arif to than taken by Babu if each of them works alone to complete the task?
Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together. What time would they take to do the work together ?
When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: Pipe A alone can fill the tank in 15 hours while pipe B alone can empty the tank in 5 hours. There is a leakage at the bottom which also alone can empty the tank in 4 hours. When pipe A and Pipe B are open simultaneously then in how many hours the tank gets empty? Quantity II: 25 men can complete the work in 20 hours and 30 women can complete the work in 15 hours. If 15 men work for 10 hours then stopped working then remaining work gets completed by all 30 women. In what time total works get completed?
Which of the following statements is most relevant in the context of Job Analysis? Choose the correct answer from the code given below. (i) Job Analysis helps in identifying the right person for the right job. (ii) A person cannot judge the job from the point of view of its suitability. (iii) Job analysis helps in job satisfaction and job efficiency. (iv) Through Job Analysis an employer cannot evaluate the prospective employee to judge his fitness or otherwise for the job. (v) Job Analysis helps in planning appropriate training programs. (vi) Job Analysis defines client needs in specific terms. (vii) Job Analysis assists in knowing the personnel specifications for various jobs.