Question

For a certain bathtub, the cold water faucet can fill the tub in minutes. The hot water faucet can fill the tub in minutes. If both faucets are used together, how long will it take to fill the tub?

Answer 1

The time required to fill the tub when both faucets working together =
`(1)/(2)` minute = 30 seconds

Explanation:

Time required by the cold water faucet to fill the tub (
`T_(1)`) = 1 minute

Time required by the hot water faucet to fill the tub (
`T_(2)`) = 1 minute

When working together the time required to fill the tub (
`T_{}`)=
`(T_(1) T_(2))/(T_(1) + T_(2))`

Put the values of
`T_(1)` &
`T_(2)` in the above formula we get (
`T_{}`) =
`(1)/(2)` minute

It is the time required to fill the tub when both faucets working together.