Question 1099571
rate * time = quantity


first tap fills the tank in 6 minutes.
rate for the first tap is 1/6 of the tank in 1 minute.


second tap fills the tank in 8 minutes.
rate for the second tap is 1/8 of the tank in 1 minute.


when they are both open, their rates are additive.


1/6 + 1/8 = 4/24 + 3/24 = 7/24


their combined rate is 7/24 of the tap in 1 minute when they are both open.


rate * time = quantity.


rate is 7/24 of the tank in 1 minute.
time is what you want to find
quantity is 1 full tank


formula becomes 7/24 * time = 1


solve for time to get time = 1 * 24/7 = 24/7 minutes = 3 and 3/7 minutes.