Question
A and B together can do a piece of work in (p-8.8)
days.The efficiency of D is 10% less than the efficiency of B. A and C together can do the same piece of work in (p-8) days. D alone can do the same piece of work in 20 days. The ratio between the efficiencies of B and C is 4:3 respectively. Find out the value of ‘p’.Solution
Let’s assume the total work is 360 units. D alone can do the same piece of work in 20 days. Efficiency of D = 360/20 = 18 units/day The efficiency of D is 10% less than the efficiency of B. 18 = (100-10)% of efficiency of B 18 = 90% of efficiency of B 18 = 0.9 x (efficiency of B) efficiency of B = 20 units/day The ratio between the efficiencies of B and C is 4:3 respectively. efficiency of C = (20/4)x3 = 15 units/day A and B together can do a piece of work in (p-8.8) days. (Efficiency of A + 20) x (p-8.8) = 360 (Efficiency of A + 20) = 360/(p-8.8) Efficiency of A = [360/(p-8.8)] - 20 Eq.(i) A and C together can do the same piece of work in (p-8) days. (Efficiency of A + 15) x (p-8) = 360 (Efficiency of A + 15) = 360/(p-8) Efficiency of A = [360/(p-8)] - 15 Eq.(ii) So Eq.(i) = Eq.(ii) [360/(p-8.8)] - 20 = [360/(p-8)] - 15 [360/(p-8.8)] - [360/(p-8)] = 20-15 [360/(p-8.8)] - [360/(p-8)] = 5 [72/(p-8.8)] - [72/(p-8)] = 1 5p 2 -84p+64 = 0 5p 2 -(80+4)p+64 = 0 5p 2 -80p-4p+64 = 0 5p(p-16)-4(p-16) = 0 (p-16) (5p-4) = 0 p = 16, 0.8 Here the value of ‘p’ will not be 0.8. Because some of the values will be negative which is not possible. So the value of ‘p’ = 16
Who has been appointed as the chairman of the National Consumer Disputes Redressal Commission?
_______________ has bagged three awards at 12th Annual Aegis Graham Bell Awards in a virtual ceremony for its indigenously designed & developed inno...
- What technology was used to detect Gangetic dolphins in the survey?
Where are the headquarters of Indian Bank ?
How much monetary penalty did the RBI impose on Belgaum District Revenue Employees’ Co-operative Bank for failing to comply with KYC directions?
What teams won the 74th National Basketball Championship?
What was the theme this year for world child labour day?
To upgrade and transform the rural economy in India, the Ministry of Rural Development has launched which of the following _________ Challenge?
How much long-term funding has IIFL Finance secured from Export Development Canada and Deutsche Bank, jointly?
A joint venture company namely Khanij Bidesh India Ltd. (KABIL) is set up with the participation of how many Central Public Sector Enterprises?