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Two flocks of birds are miles apart and heading directly toward each other. One flock is flying at a rate of miles per hour. In comparison, the other flock is flying at a rate of miles per hour. In how much time will the two flocks meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. Two flocks of birds are miles apart and heading directly toward each other. One flock is flying at a rate of miles per hour. In comparison, the other flock is flying at a rate of miles per hour. In how much time will the two flocks meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Rephrase the Problem: First, let's rephrase the ＂How long will it take for two flocks of birds flying towards each other from miles apart to meet if one flies at mph and the other at mph?＂
- Calculate Combined Speed: We need to find the combined speed of both flocks of birds. The first flock is flying at miles per hour, and the second flock is flying at miles per hour. To find the combined speed, we add these two speeds together.Combined speed Speed of first flock Speed of second flockCombined speed Combined speed
- Calculate Time to Meet: Now, we will calculate the time it takes for the two flocks to meet. We know the distance between them is miles, and we have just calculated their combined speed to be miles per hour. The time taken to meet can be found by dividing the distance by the combined speed.Time Distance Combined speedTime miles miles per hour
- Divide to Find Time: Performing the division to find the time:Time hoursHowever, we need to round the answer to the nearest minute. First, let's separate the hours from the minutes.
- Separate Hours and Minutes: The number of whole hours is . To find the remaining minutes, we take the decimal part and multiply it by (since there are minutes in an hour).Minutes = hours minutes/hourMinutes minutes
- Round to Nearest Minute: We round the minutes to the nearest whole number:Minutes minutesSo, the two flocks will meet in approximately hours and minutes.
