An iceberg and a ship separated by 98 miles are moving directly toward each other. The iceberg is floating at 1 mile per hour, whereas the ship is traveling at 12 miles per hour. Assuming that neither changes course, how long will it be before the two collide?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. An iceberg and a ship separated by 98 miles are moving directly toward each other. The iceberg is floating at 1 mile per hour, whereas the ship is traveling at 12 miles per hour. Assuming that neither changes course, how long will it be before the two collide?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Find Combined Speed: We need to find the combined speed of the iceberg and the ship as they are moving towards each other.Speed of iceberg: 1 mile per hourSpeed of ship: 12 miles per hourCombined speed = Speed of iceberg + Speed of shipCombined speed =1+12=13 miles per hour
Calculate Time: Now, we need to calculate the time it will take for the iceberg and the ship to cover the distance between them.Distance between iceberg and ship: 98 milesCombined speed: 13 miles per hourTime = Distance / Combined speedTime =98/13Time =7.53846153846 hours
Convert to Minutes: We need to convert the decimal part of the hours into minutes.The whole number part is the number of hours, which is 7 hours.To find the minutes, we multiply the decimal part by 60.Minutes =0.53846153846×60Minutes ≈32.3076923076 minutesWe round this to the nearest minute.Minutes ≈32 minutes