If a Muslim is invited to a business meeting that coincides with a prayer time, they should make arrangements to fulfill their religious obligations while being respectful of the meeting. Here are a few ways they can manage the situation:

1. **Inform the Host**: Before the meeting, the person should politely inform the host that they need to pray during the meeting. Muslims are required to pray five times a day, and it’s important to fulfill that obligation.

2. **Request a Short Break**: Depending on the situation, they can request a short break at the time of prayer. Most prayers take only a few minutes to perform. If the host is understanding, they will likely allow the person to take a brief break.

3. **Perform Prayer in the Available Space**: If possible, the individual can pray in a quiet, private space, such as an office, a designated prayer room, or even a quiet corner of the meeting venue.

4. **Timing Flexibility**: If the timing of the prayer is flexible (e.g., if the meeting will last for a few hours and multiple prayer times overlap), they can either pray before or after the meeting, as long as the prayer is performed within its designated window.

5. **Use of a Travel Prayer (Qasr)**: If the individual is traveling or on the move, they may be allowed to combine certain prayers (Dhuhr and Asr, or Maghrib and Isha) to make it easier to manage during busy schedules.

In any case, a Muslim’s prayer obligation comes first, and with respectful communication, most people will understand and accommodate the need for a short break to perform the prayer.