a tanker truck fills the gas stations reservoir at the rate of 12 1/2 gallons per minute. if the reservoir was empty, and it is now 35 gallons full, how long has the tank been filling the reservoir?

Respuesta :

Answer:

Step-by-step explanation:it should be 4 + 6=10:00pm. maybe

Answer:

2.8 minutes or 2 minutes and 48 seconds.

Step-by-step explanation:

A tanker truck fills the gas stations reservoir at the rate of [tex]12\frac{1}{2}[/tex] gallons per minute.

∵ in 1 minute tanker truck fills the gas = [tex]12\frac{1}{2}[/tex] gallons

                                                              =[tex]\frac{25}{2}[/tex] gallons

∴ to fill 35 gallons it will take time = [tex]\frac{35}{\frac{25}{2}}[/tex]

                                                        = [tex]\frac{35\times 2}{25}[/tex]

                                                        = [tex]\frac{70}{25}[/tex]

                                                        = [tex]\frac{14}{5}[/tex]

                                                        = [tex]2\frac{4}{5}[/tex] minutes

                                                        = 2.8 minutes

                                                    or 2 minutes (0.8 × 60) 48 seconds

It will take 2.8 minutes or 2 minutes and 48 seconds to fill 35 gallons full.