Answer:
The time required to fill the tub when both faucets working together = [tex]\frac{1}{2}[/tex] minute = 30 seconds
Step-by-step explanation:
Time required by the cold water faucet to fill the tub ([tex]T_{1}[/tex]) = 1 minute
Time required by the hot water faucet to fill the tub ([tex]T_{2}[/tex]) = 1 minute
When working together the time required to fill the tub ([tex]T_{}[/tex])= [tex]\frac{T_{1} T_{2}}{T_{1} + T_{2}}[/tex]
Put the values of [tex]T_{1}[/tex] & [tex]T_{2}[/tex] in the above formula we get ([tex]T_{}[/tex]) = [tex]\frac{1}{2}[/tex] minute
It is the time required to fill the tub when both faucets working together.
