Three workers Raja, Ravi, and Ratan are appointed to do a job. They together started the job but Ratan left after 3 days when 37% of the job was done. The remaining job was completed by Raja and Ravi in 7 days. The ratio of efficiency of Raja and Ravi is 4 : 5. What will be the number of days required by the slowest worker to complete the entire job alone?

Question

Three workers Raja, Ravi, and Ratan are appointed to do a job. They together started the job but Ratan left after 3 days when 37% of the job was done. The remaining job was completed by Raja and Ravi in 7 days. The ratio of efficiency of Raja and Ravi is 4 : 5. What will be the number of days required by the slowest worker to complete the entire job alone?

30 days
25 days
20 days
35 days

LohaHridoy

11 views

2025-01-04 04:42

1 Answers

Related Questions

P alone can complete the work in 12 days and Q alone can complete the work in 24 days. If P works alone for the first day and Q alone works for second day, after second day P and Q works together for next 5 days. After 7 days, R who has same work efficiency as Q, joins P and Q. In how many days, work will be completed?

1 Answers 6 Views

A group of workers can complete a job in 9 days. But it so happens that every alternate day starting form the second day 2 workers are withdrawn from the job and every alternate day starting from the third day one worker added to the group. In such a way that the job is finished by the time and there is no worker left. If it takes double the time to finish the job now, find the number of workers who started the job?

1 Answers 6 Views

B, C, D are 3 workers on a farm. They completed the work in 10 days. They started together but B left after 2 days when 40 percent of work was completed. D takes 25 percent more time than C to do the work alone. If they were paid 6000 rs as per the amount of work done. How much was C paid?

1 Answers 4 Views

‘X’ completes a job in 12 days. When ‘X’ has done the job for three days, ‘Y’ joins him and they together complete the job in next three days. In how many days, ‘Y’ may alone complete the job ?

1 Answers 8 Views

100 workers can make a bridge in 150 days. When 20% bridge was completed 25% workers left the job, find the number of days in which remaining work will be completed by remaining workers. (All workers have the same efficiency)?

1 Answers 4 Views

Two workers P and Q started a job. For the first three hours only P works and then Q joins him to complete remaining work. When work completed it comes to know that P done 2/3rd of work and Q completed remaining work. After first four hours, there is still 3/5 of work is remaining. The number of days taken by alone P to complete work is what percent less than number of days taken by alone Q to complete the work?

1 Answers 4 Views

A takes 20% more days than B to complete the work, when they work alone. To complete 1/4th of work, A alone works. A and B works together to complete 1/2th of the work. Remaining work gets completed by B in 5 days. Find the number of days in which total work gets completed.?

1 Answers 4 Views

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?

1 Answers 4 Views

A, B and C working together completed a work in 15 days. However, C only worked for the first 6 days when 46% of the work is done. Also, the work done by A in 4 days is equal to work done by B in 2 days. How many days would be required by the fastest worker to complete the entire work?

1 Answers 4 Views

A, B and C can together complete a work in 20 days. On the other hand, B and C can together complete the work in 30 days, while C can complete the work alone in 50 days. If A left when the work was 20% complete, while B left when the work was 50% complete, and C completed rest of the work alone, in how many days will the work be complete?

1 Answers 8 Views

AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 1 : 30 days

Given:

Ratio of efficiency of Raja and Ravi = 4 : 5

Ratan left after = 3 days

Concept Used:

Total work is LCM of work done by each person.

Formula Used:

Total Work = Efficiency × Time

Calculation:

Let x, y, and z be one day’s work of Raja, Ravi, and Ratan respectively.

Ratio of efficiency of Raja and Ravi = 4 : 5

Total Work = Efficiency × Time

Work done by Ravi and Raja in 7 days = (4 + 5) × 7

⇒ Work done by Ravi and Raja in 7 days = 63

63% work= 63

⇒ Total work = 100% work = 100

Work done by Ravi and Raja in 3 days = (4 + 5) × 3

⇒ Work done by Ravi and Raja in 3 days = 27

Work done by (x + y + z) = 37% of 100

⇒ 3 (4 + 5 + z) = 37

⇒ z = (37 – 27) / 3 = 10 / 3

Days in which Ratan will complete the work = (100 / (10 / 3))

⇒ Days in which Ratan will complete the work = 30

∴ Ratan is the slowest and he can do the work in 30 days.