"A whale is swimming due north at a speed of 30 miles per hour. Just 5 miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 46 miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute. ____ hours and ____ minutes "

Question

"A whale is swimming due north at a speed of 30 miles per hour. Just 5 miles away, a whale-watching tour boat is traveling south, directly toward the whale, at a speed of 46 miles per hour. How long will it be before they meet? If necessary, round your answer to the nearest minute.   ____ hours and ____ minutes   "

Bytelearn · Accepted Answer

Calculate Combined Speed: We need to calculate the time it will take for the whale and the tour boat to meet. The whale is swimming north at 30 mph, and the boat is traveling south toward the whale at 46 mph. The distance between them is 5 miles.Find Time to Meet: First, we find the combined speed of the whale and the boat since they are moving towards each other. We add the speed of the whale to the speed of the boat. Combined speed = Speed of whale + Speed of Boat = 30 mph + 46 mph = 76 mphDivide Distance by Speed: Next, we calculate the time it will take for them to meet by dividing the distance by the combined speed. Time = Distance / Combined speed = 5 miles / 76 mphConvert Decimal to Minutes: Perform the division to find the time in hours. Time ≈ 5 / 76 ≈ 0.0657894737 hoursRound to Nearest Minute: Since we need the time in hours and minutes, we convert the decimal part of the hours into minutes. There are 60 minutes in an hour, so we multiply the decimal part by 60. Minutes = 0.0657894737 hours * 60 minutes/hour ≈ 3.94736842 minutesWe round the number of minutes to the nearest whole number since the problem asks us to round to the nearest minute. Rounded minutes ≈ 4 minutes

Full solution

More problems from Rate of travel: word problems

Related topics