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An iceberg and a ship separated by 9898 miles are moving directly toward each other. The iceberg is floating at 11 mile per hour, whereas the ship is traveling at 1212 miles per hour. Assuming that neither changes course, how long will it be before the two collide?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes\newline

Full solution

Q. An iceberg and a ship separated by 9898 miles are moving directly toward each other. The iceberg is floating at 11 mile per hour, whereas the ship is traveling at 1212 miles per hour. Assuming that neither changes course, how long will it be before the two collide?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes\newline
  1. Find Combined Speed: We need to find the combined speed of the iceberg and the ship as they are moving towards each other.\newlineSpeed of iceberg: 11 mile per hour\newlineSpeed of ship: 1212 miles per hour\newlineCombined speed == Speed of iceberg ++ Speed of ship\newlineCombined speed =1+12=13= 1 + 12 = 13 miles per hour
  2. Calculate Time: Now, we need to calculate the time it will take for the iceberg and the ship to cover the distance between them.\newlineDistance between iceberg and ship: 9898 miles\newlineCombined speed: 1313 miles per hour\newlineTime == Distance // Combined speed\newlineTime == 98/1398 / 13\newlineTime == 7.538461538467.53846153846 hours
  3. Convert to Minutes: We need to convert the decimal part of the hours into minutes.\newlineThe whole number part is the number of hours, which is 77 hours.\newlineTo find the minutes, we multiply the decimal part by 6060.\newlineMinutes =0.53846153846×60= 0.53846153846 \times 60\newlineMinutes 32.3076923076\approx 32.3076923076 minutes\newlineWe round this to the nearest minute.\newlineMinutes 32\approx 32 minutes

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