# ram and shyam working alone can complete a task in 20 days and 10 days

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## [Solved] Ram alone can complete a work in 20 days and Shyam alone can

Given: Ram alone can complete a work in 20 days Shyam alone can complete a work in 15 days Formula: Total work = Efficiency × Time Calculation: Tota

Home Quantitative Aptitude Time and Work Work Efficiency

## Question

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## Ram alone can complete a work in 20 days and Shyam alone can the same work in 15 days. Ram started the work and after working 3 days, Shyam joined Ram to finish the remaining work. In how many days, the remaining work will be finished?

51/7 days 53/9 days 63/8 days 51/9 days

## Answer (Detailed Solution Below)

Option 1 : 51/7 days

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## Detailed Solution

Download Solution PDF

**Given**

**:**

Ram alone can complete a work in 20 days

Shyam alone can complete a work in 15 days

**Formula:**

Total work = Efficiency × Time

**Calculation:**

Total work = 60 units (LCM of 20 and 15)

Efficiency of Ram = 3 units/day

Efficiency of Shyam = 4 units/day

Work done by Ram in 3 days = 3 × 3 = 9 units

Remaining work = 60 – 9 = 51 units

∴ Time taken by Ram and Shyam remaining work = 51/(3 + 4) = 51/7 days

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## Ram can do a piece of work in 20 days, and Shyam can do it in 30 days. If both of them work together, how many days will it take them to finish the work?

Answer (1 of 15): Ram is 100 % efficient with his 20 man days each day he produces 5 % as 20 days /100% Shyam is only 50% efficient when compared to Ram , as a result of this Shyam takes 30 man days to complete the same amount of work.each day Shyam produces 3.33 % per day for 30 days Therefore...

Ram can do a piece of work in 20 days, and Shyam can do it in 30 days. If both of them work together, how many days will it take them to finish the work?

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Sort Alok Karande

Interest in Solving puzzles/riddlesAuthor has 567 answers and 1.5M answer views2y

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Ram can do work alone in 20 days and Shyam can do this work in 30 days. How much work can they do together in 6 days?

In a day if Ram and Shyam work together they will complete 1/20 + 1/30 portion of the work. In 6 days it will be 6(1/20 + 1/30) = 1/2 or half the work.

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Richard Roberts

Dog walkerAuthor has 1.3K answers and 392K answer views1y

Ram can do a piece of work in 20 days

Ram can do 1/20 of a piece of work in 1 day

Shyam can a piece of work in 30 days

Shyam can 1/30 of a piece of work in 1 day

Together they can do

1/20 + 1/30 of a piece of work in 1 day

= 3/60 + 2/60 = 5/60

=1/12 of a piece of work in 1 day.

They can complete it in 12 days.

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Bablu Mardi

B.Tech (Electrical Engg.) from National Institute of Technology.Author has 393 answers and 191.6K answer views1y

Ram one days work=1/20

Shayam one days work =1/30

According to question both work together.

1/20+1/30=5/60 =1/12 days

They finished the work in 12 days.

Louis M. Rappeport

B.S. from University of California, BerkeleyAuthor has 6.9K answers and 4.8M answer views1y

12 days

20 x 30/20+30=600/50=12

Let R be Ram, and S be Shyam. Then:

20R=1 30S=1 60R=3 60S=2 60(R+S)=3+2=5 12(R+S)=1

Ram and Shayam take 12 days, working together ……………..

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Isabelle South 4y

Ram takes 20 days to do one bit of work. So, he is working at a rate of 1/20 of work per day.

Shyam takes 30 days to do one bit of work. So, he is working at a rate of 1/30 of work per day.

Together, both are completing 1/20 and 1/30 of the work. 1/20 + 1/30= 5/60 = 1/12 (cross multiplication method).

Therefore, their rate together is 1/12 of the work per day. So, it will take them 12 days in total.

Answer: 12 days Edwin Koh

Author has 912 answers and 1.5M answer views4y

Ram takes 20 days to complete a piece of work.

Shyam takes 30 days to complete a piece of work.

Ram completes (1/20) of a piece of work in 1 day.

Shyam completes (1/30) of a piece of work in 1 day.

Together R and S complete (1/20) + (1/30) = (1/12) of a piece of work in 1 day.

(1/12) of a piece of work - 1 day

(12/12) of a piece of work - (12/12)/(1/12) = 12 days.

R and S take 12 days to complete a piece of work when they work together.

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Der Tery

Author has 97 answers and 386K answer views4y

Ram takes 20 days Shyam takes 30 dyas

Ram is 50% quicker than Shyam and therefore would do 60% of the work.

20X60%=12

So it would take 12 days if they worked together.

Haresh Sagar

Studied Science & Mathematics (Graduated 1988)Author has 3.8K answers and 2.1M answer views2y

Ram completes his work in 20 days.

## Ram can do a piece of work in 20 days, while Shyam can do it in 30 days . If both of them work at it together , in how many days will they be able to finish the work?

Click here👆to get an answer to your question ✍️ Ram can do a piece of work in 20 days, while Shyam can do it in 30 days . If both of them work at it together , in how many days will they be able to finish the work?

Question

## Ram can do a piece of work in 20 days, while Shyam can do it in 30 days. If both of them work at it together , in how many days will they be able to finish the work?

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Updated on : 2022-09-05

given that:Solution Verified by Toppr Ram's efficiency = 20 1 =5%

Shyam's efficiency =

30 1 =3.33% Total work =100%

If both work together then efficiency =5+3.33=8.33%

Let Ram and Shyam finishes a work in x days then

x= 8.33 100 x=12

If both of them work at it together , in 12 days they will be able to finish the work.

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