Question
Two inlet pipes M and N alone can fill a tank in 10
hours and 12 hours respectively and an outlet pipe P alone can empty the whole tank in 8 hours. First pipe M is opened for 5 hours, then pipe P is opened for 2 hours and rest of the tank is filled by pipe N. In what time will the tank be filled completely?Solution
Total capacity = 120 units (LCM of 10, 12 and 8) Efficiency of pipe M = 120/10 = 12 units/hr Efficiency of pipe N = 120/12 = 10 units/hr Efficiency of pipe P = 120/-8 = -15 units/hr Capacity of tank filled by pipe M in 5 hours = 12 × 5 = 60 units Capacity of tank emptied by pipe P in 2 hours = -15 × 2 = -30 units Capacity of tank left for pipe N = 120 – 60 – (-30) = 90 units Time taken by pipe N to fill the remaining tank = 90/10 = 9 hrs Total time taken = 5 + 2 + 9 = 16 hrs
Which Indian leader died due to injuries sustained during the Anti-Simon Commission protests of 1928?
Who won the 2025 Ursula K. Le Guin Prize for Fiction?
In the context of the Bharat 6G Alliance and the Next G Alliance's collaboration, what is the primary focus of their Memorandum of Understanding (MoU)?
Against which team did Arshdeep Singh take his 100th wicket in T20Is, becoming the first Indian to achieve the feat?
NABARD's Rural Financial Inclusion Survey reported an increase in savings across households. What percentage of agricultural households reported having ...
Which organization developed the Indigenous Technologies of Thermal camera transferred to M/s Aditya Infotech (CP Plus)?
When is Vijay Diwas celebrated ?
How many Amrit Bharat stations are planned to be redeveloped by 2027 under the scheme?
Election Commission launched 'Mission-929' in which state?
Uttarakhand has become the first state in India to pass a Uniform Civil Code Bill after independence. Consider the following statements regarding this d...
