In due time MoneyGram separated from the Western Union and became an independent brand. Money transfer platform of MoneyGram will be integrated with the mobile platform LinqUs, which will allow customers to make international transfers with a mobile phone. How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. The benefits of money transfers by MoneyGram: high-speed delivery of transfers (10-15 min).