How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. At the heart of MoneyGram is trust and reliability of customers. You can quickly send and receive money, as money transfers usually come to the recipient within 10 minutes. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min). Millions of families depend on MoneyGram to safely send money home or pay the bills. In March 2012, the company MoneyGram merged with the network of U.S. payment centers ZipZap.