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Rashi can do a piece of work in 30 days, Roshan can do in 50 days and Ritesh can do in 40 days. Rashi and Roshan worked for 3 days together and Rashi left. Ritesh joined Roshan for 2 days and then Roshan left. Now, Ritesh completed the work. In total how many days did work complete?  

Rashi can do a piece of work in 30 days, Roshan can do in 50 days and Ritesh can do in 40 days. Rashi and Roshan worked for 3 days together and Rashi left. Ritesh joined Roshan for 2 days and then Roshan left. Now, Ritesh completed the work. In total how many days did work complete?   Correct Answer 35 days

Given:

Rashi can do a piece of work in = 30 days

Roshan can do a piece of work in = 50 days

Ritesh can do a piece of work in = 40 days

Formula Used:

Time = Work/Efficiency

Calculation:

Person

Work can be  complete in days

LCM of 30, 50 and 40

 Efficiency

Rashi

30

              

20

Roshan

50

600

12

Ritesh

40

 

15

Total work done in a day

 

 

 47


Work done by Rashi and Roshan in 3 days = 3 × 32 = 96 units

Work done by Ritesh and Roshan in 2 days = 2 × 27 = 54 units

Remaining work = Total work – Work done in 5 days

⇒ 600 units – 150 units

⇒ 450 units

Days taken by Ritesh = Remaining work/Efficiency

⇒ 450/15 = 30 days

Total days = 3 + 2 + 30 = 35 days

∴ In total they did work for 35 days.

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