How quickly the money will reach the recipient? MoneyGram Money Order comes anywhere in the world in 10 minutes. Using the MoneyGram system, you can easily send money to your relatives and friends in other countries. The benefits of money transfers by MoneyGram: the opportunity to send a telegram with money transfer (up to 10 words) for free. MoneyGram company operates around the clock and all 7 days a week, so the time of money transfer takes only 10 minutes.