Is it permissible for the husband to dedicate time to the first wife to compensate her for taking the second, working wife to school daily, knowing that the first wife is a housewife and needs his presence to care for their young children and check on their well-being?

The basis for dividing time between wives is the night, with the day being secondary to it. It is permissible for the husband to visit the other wife during the day if there is a need, such as taking her to work, without exceeding the extent of that need. Similarly, he may check on the well-being of his wives and inquire about them even when he is with another wife. He is not obligated to compensate you for a day merely because he went to drop off his wife at work; compensation is only required if he prolonged his stay with the other wife without necessity. His departure from you at the beginning of the night is permissible, as it is a time when people disperse for prayer and livelihood. Wives should endure the husband's injustice for the sake of preserving the family.