Question

The working efficiency of Ram, Shyam and Shiva is 4 : 2 : 1. Shiva alone can complete the work in 100 days. If Ram and Shyam work together for 16 days and leave, then find the number of days required by Shiva to complete the remaining work.

• A. 4 days
• B. 10 days
• C. 8 days
• D. 16 days

Answer 1

Answer:

A. 4 days

Solution: Given: The working efficiency of Ram, Shyam and Shiva is 4 : 2 : 1. Shiva alone can complete the work in 100 days. Ram and Shyam work together for 16 days and leave. Formula used: Work = Efficiency × Time Calculation: The working efficiency of Ram = 4k The working efficiency of Shyam = 2k The working efficiency of Shiva = k Let k = 1, The working efficiency of Ram = 4 units per day The working efficiency of Shyam = 2 units per day The working efficiency of Shiva = 1 unit per day The total amount of work or the amount of work done by Shiva in 100 days = 1 × 100 = 100 units Now, The combined efficiency for Ram and Shyam = 4 + 2 = 6 units a day The amount of work done by Ram and Shyam in 16 days = 6 × 16 = 96 units The remaining amount of work = 100 - 96 = 4 units Now, The time is taken by Shiva to complete 4 units of work = 4/1 = 4 days ∴ The time is taken by Shiva to complete 4 units of work is 4 days.