Question

Asha Usha and Nisha can individually complete a particular job in 20 30 40 days respectively initially Asha starts working alone and after 10% of work is finished the joints both Asha and then worked together for 3 more days than the remaining job work done by Nisha alone how many days would Nisha take to complete the job​

Answer 1

Answer:

• LET TOTAL WORK BE (LCM OF 20 30 40)THAT IS 120
• THEREFORE ONE DAY WORK OF ASHA USHA AND NISHA WILL BE
• ASHA=120/20 i.e 6 PER DAY
• USHA=120/30 i.e 4 PER DAY

• NISHA=120/40 i.e 3 PER DAY

NOW ITS GIVEN THAT INITIALLY ASHA STARTS WORKING ALONE AND COMPLETES 10% OF THE TOTAL WORK THEREFORE ASHA WILL COMPLETE 10% OF THE TOTAL WORK IN 2 DAYS (10%OF 120 IS 12 AND PER DAY EFFICIENCY OF ASHA IS 6 ∴ 12/6=2  DAYS)  

• NOW ASHA AND USHA WORKS TOGETHER FOR 3 DAYS 10*3=30

• LEFT OVER WORK 120-(30+12)=78

NISHA WILL COMPLETE THIS WORK IN 78/3=26 DAYS