The new moon allows astronomers to observe the stars better. How many days will the astronomers have to wait for the new moon if the phase is currently first quarter

On average, it takes around 29.5 days for the moon to complete its cycle and go from a new moon to a new moon. So if the phase is currently first quarter, the astronomers will have to wait for approximately 14.75 days (half of the lunar cycle) to observe the new moon.