The Secretary shall also reimburse each State agency in an amount equal to 50 per centum of the total amount of payments made or costs incurred by the State agency in connection with transportation costs and other expenses reasonably necessary and directly related to participation in an employment and training program under section 2015(d)(4) of this title or a pilot project under paragraph (1)(F), except that the amount of the reimbursement for dependent care expenses shall not exceed an amount equal to the payment made under section 2015(d)(4)(I)(i)(II) of this title but not more than the applicable local market rate, and such reimbursement shall not be made out of funds allocated under paragraph (1).