Pipe A can fill a tank in 24 hours and pipe B in 32 hours. If both the pipes are opened in an empty tank at the same time, then the time taken to fill the tank is:
Pipe A can fill a tank in 24 hours and pipe B in 32 hours. If both the pipes are opened in an empty tank at the same time, then the time taken to fill the tank is:
Solution
✅ Correct Option: 3
Pipe A alone takes 24 hours to fill the tank.
Pipe B alone takes 32 hours to fill the tank.
When pipes work together, their rates of work add up.
Pipe A's work in 1 hour = of the tank
Pipe B's work in 1 hour = of the tank
Combined work in 1 hour =
To add these fractions, find the LCM of 24 and 32, which is 96.
Combined work =
Combined work = of the tank in 1 hour
Time to fill the complete tank:
Time =
Time =
Time = hours
Converting to mixed number:
hours
Therefore, the time taken to fill the tank is hours.