Question
Pipe βAβ and pipe βBβ can fill a cistern in 18
minutes and 16 minutes respectively. Pipe βCβ alone can empty the cistern in 12 minutes. If all three pipes are opened together then what is the time taken to fill 50% of the cistern?Solution
Let the capacity of the cistern = 144 units Then, efficiency of pipe βAβ = 144/18 = 8 units/minute Efficiency of pipe βBβ = 144/16 = 9 units/minute Efficiency of pipe βCβ = 144/12 = 12 units/minute So, combined efficiency of pipes βAβ, βBβ and βCβ = 8 + 9 β 12 = 5 units/minute 50% of the cisternβs capacity = 72 units Therefore, time taken by all 3 pipes together to fill 50% of the cistern = 72/5 = 14.4 minutes
Rohit and Dev invested βΉ32,000 and βΉ18,000 respectively. For the next four months after the first month both kept on adding βΉ2000 every month. In ...
A and B started a business with investments in the ratio 4:5 respectively. Find the share of A, if they earned a profit of Rs. 2700.
T and H commenced a construction business with investments of Rs. 750 and Rs. 900, respectively. After three months, V joined the business, contributing...
Ritu and Manav start a partnership with Rs. 3000 and Rs. 4500. 50% of the profit is shared equally; the rest is in the ratio of their investments. If Ma...
A, B and C invested in partnership. A invest Rs.5000 for 4 months, B invests Rs.2000 for 2 months and C invests Rs.8000 for 2 months. C is working partn...
βMβ and βNβ started a business by investing Rs. 6,000 and Rs. 9,000 respectively. βxβ months later, they admitted βOβ as a partner who ...
βXβ invested Rs. 5000 in a business. βYβ joined x months later with an investment of Rs. 4000. If at the end of the year, Yβs share in the pro...
'A', 'B' and 'C' started a partnership business with capital of Rs. 8000, Rs. 11000 and Rs. 15000 where all three invested for equal time. If the profi...
A started a retail business by investing Rs.35,000. After four months B joined him with a capital ofΒ Rs.62,000. After 2 years, they earned a profit ofοΏ½...
A and B together started a business by investing their capital in the ratio of 10:9, respectively and total amount invested by them together is Rs. 1140...
