That is something noble my friend because if you look at the calculations that occur for $3 every day means that for 1 month it becomes approximately $90 if indeed the total 1 month is 30 days and 1 year where we have 365 days x $3 = $1095 if we are consistent in doing so.

I don't know what country you are from but the cost of Hajj in my country for regular Hajj is around $6000 for the trip and that means if you look at the total average income of $1095 in a year that means it takes 6 years for the cost in my country.

I think for a period of 10 years it can still be done if you are really consistent with it because I am sure with your noble intentions then I think it can still be done and cheers to you friend because this requires a strong determination to be able to complete your mission to make your mother able to go to Hajj. I wish you and your mom good health and no problems until your goal is achieved.