The biggest problem I have with giving specific component specifications, is I frequently buy Surplus, or from Ali Express, and specific resistances, running/idle power consumption, etc,. etc., are not indicated.Kim, Kim, Kim ... This is not a free homework service. Show us your solution to the problem and we will advice.
Update; You didn't say what this is for, but based on your profile it probably is not homework.
Also, think about what you are asking and how little information you have given us to work with.
Solenoid and pump currents / datasheets / websites; power source, etc. - ????
And, a timing diagram.
And - will the button always be released before the pump activates?
And - What is the guaranteed minimum time between when a cycle finishes and when the button is pressed again?
ak
