Bissoy.com
Doctors Medicines MCQs Q&A

Three workers Shubham, Ravi and Abhishek were assigned to a project. Time taken by Shubham is thrice the time taken by Abhishek to do the task when working alone. Ravi is 40% more efficient than Shubham, working together Ravi and Abhishek can finish the project in 105/23 days. Calculate the time taken by them to finish the project working together.

Three workers Shubham, Ravi and Abhishek were assigned to a project. Time taken by Shubham is thrice the time taken by Abhishek to do the task when working alone. Ravi is 40% more efficient than Shubham, working together Ravi and Abhishek can finish the project in 105/23 days. Calculate the time taken by them to finish the project working together. Correct Answer 35/9

Time taken by Shubham is thrice the time taken by Abhishek

∴ Let the time taken by Abhishek to finish the task = x days

⇒ Time taken by Shubham to finish the task = 3x days

Now, Ravi is 40% more efficient than Shubham

⇒ Time taken by Ravi to finish the task = 3x × (100/140) = 15x/7 days

Working together Ravi and Abhishek can finish the task in 105/23 days

∴ (1/x) + (7/15x) = 23/105

⇒ (15 + 7)/15x = 23/105 

⇒ 23/15x = 23/105

⇒ 15x = 105

⇒ x = 7 

∴ Time taken by Abhishek to finish the task = 7 days

Time taken by Shubham to finish the task = 3 × 7 = 21 days

Time taken by Ravi to finish the task = (15/7) × 7 = 15 days

∴ Working together project can be finished in

⇒ (1/7) + (1/21) + (1/15) = (15 + 5 + 7)/105 = 27/105 = 9/35

∴ The project can be completed in 35/9 days

 

 

 

 

Related Questions

In a school, a Science project has been assigned to three students Rajat, Rohan, and Bishal and it was told that they should work together on that project. Working alone Rohan can finish the project in 20 days, it is also given that if Rajat and Bishal work on the project they will take 9 days to complete the project. Bishal alone can complete the project in 15 days. Rohan started working on the project from Monday but after 8 days he left and after that Rajat and Bishal started working on it but Bishal also left 6 days before completion of the work and Rajat completed the remaining project, in how many days will the project be completed and on which day will it be completed?
Three friends Adam, Eve and Kane who are working together working at different speed where Adam being the slowest and Kane being the Fastest. When Adam and Eve work together they take x days to finish a task. When Eve and Kane work together they take y days to finish a task. One of them, if he worked alone would take thrice as much time as it would take when all three work together. How much time would it take if all three worked together?
A and B together can complete a task in 40 days. B and C together can complete the same task in 50 days. A and C together can complete the same task in 60 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
A and B together can complete a task in 20 days. B and C together can complete the same task in 25 days. A and C together can complete the same task in 30 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
In a certain number of days, 10 workers were assigned to complete a task. Since some of the workers have not worked all these days, only 25% of the task was completed after 15 days. From the 16th day onwards when all 10 started working, the percentage of the total work that was completed at the end of the assigned days was 62.5%. How many days were assigned initially?
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 A: A can do 40% of a work in 6 days and B can do 30% of the same work in 3 days. They started the work together but B left after 2 days and A continued to work. In how many days was the entire work completed? Quantity B: Type 1 workers are two-and-a-half times as efficient as Type 2 workers. If 12 Type 1 workers can complete a task in 10 days, how many days would it take 6 type 1 and 10 type 2 workers to complete the same task?
Adil and Biren together can complete a task in 20 days. Biren and Chirag together can complete the same task in 50 days. Adil and Chirag together can complete the same task in 40 days. If the same task was to be done by them alone, what would be the ratio of time taken by Adil alone to Biren alone? A. 11: 9 B. 11 : 3 C. 7 : 9 D. 9 : 11
Rakesh completes a math project in 10 days, while Ravi takes 15 days. Rakesh starts a project and works for 4 days alone, after 4 days Ravi joins and they work together for 2 days. Then a third person Anas joins and they three work together for 16/13 days and complete the project. In how many days can Anas complete a project alone?
Working together, Asha and Sudha can complete an assigned task in 20 days. However, if Asha worked alone and completed half the work and then Sudha takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Asha take to complete the if she worked alone ? Assume that Sudha is more efficient than Asha.
Adil and Biren together can complete a task in 20 days. Biren and Chirag together can complete the same task in 50 days. Adil and Chirag together can complete the same task in 40 days. If the same task was to be done by them alone, what would be the ratio of time taken by Adil alone to taken by Biren? A. 11 : 9 B. 11 : 3 C. 7 : 9 D. 9 : 11