Amtrak has announced two new rider discounts, the Mid-Week Fare Sales and Kids Ride Free discounts. Both offers can be booked online at www.amtrak.com. Kids ride free Fridays, Saturdays, or Sundays through August, and mid-week fares are reduced by 25% when you travel Tuesdays, Wednesdays, or Thursdays through October on the Amtrak Missouri River Runner.