After spending the winter in Fulton County, two flocks of birds are now migrating home. The first flock flies due east at 33 kilometers per hour, and the second flies west at 63 kilometers per hour. In how much time will they be 390 kilometers apart? If necessary, round your answer to the nearest minute. ____ hours and ____ minutes

Question

After spending the winter in Fulton County, two flocks of birds are now migrating home. The first flock flies due east at 33 kilometers per hour, and the second flies west at 63 kilometers per hour. In how much time will they be 390 kilometers apart? If necessary, round your answer to the nearest minute.   ____ hours and ____ minutes

Bytelearn · Accepted Answer

Calculate Combined Speed: We have: Speed of first flock: 33 kilometers per hour Speed of second flock: 63 kilometers per hour Find the combined speed of the two flocks since they are flying in opposite directions. Combined speed = Speed of first flock + Speed of second flock Combined speed = 33 + 63 Combined speed = 96 kilometers per hourFind Time Taken: Now, we need to find the time it takes for them to be 390 kilometers apart. Use the formula: Time = Distance / Speed Time = 390 kilometers / 96 kilometers per hour Time ≈ 4.0625 hoursConvert Decimal Hours: To convert the decimal hours to minutes, we take the fractional part and multiply by 60. 0.0625 hours * 60 minutes/hour ≈ 3.75 minutes Since we need to round to the nearest minute, we round 3.75 minutes to 4 minutes.Final Result: So, the flocks of birds will be 390 kilometers apart in approximately 4 hours and 4 minutes.

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