Mrs. Brady's class takes a ferry east across a lake at 24 miles per hour. At the same time, a fishing boat leaves from the opposite side of the lake, traveling west at 52 miles per hour. The two vessels started out 1 mile apart and are now traveling directly toward each other. How long will it be before they pass by each other? If necessary, round your answer to the nearest minute. ____ hours and ____ minutes

Question

Mrs. Brady's class takes a ferry east across a lake at 24 miles per hour. At the same time, a fishing boat leaves from the opposite side of the lake, traveling west at 52 miles per hour. The two vessels started out 1 mile apart and are now traveling directly toward each other. How long will it be before they pass by each other? If necessary, round your answer to the nearest minute.   ____ hours and ____ minutes

Bytelearn · Accepted Answer

Calculate combined speed: Calculate the combined speed of the ferry and the fishing boat. Speed of ferry: 24 miles per hour Speed of fishing boat: 52 miles per hour Combined speed = Speed of ferry + Speed of fishing boat Combined speed = 24 + 52 Combined speed = 76 miles per hourDetermine time taken: Determine the time it takes for the ferry and the fishing boat to cover the distance between them. Distance apart: 1 mile Combined speed: 76 miles per hour Time = Distance / Combined speed Time = 1 mile / 76 miles per hour Time ≈ 0.01316 hoursConvert time to minutes: Convert the time from hours to minutes. Time in hours: 0.01316 Minutes in an hour: 60 Time in minutes = Time in hours × Minutes in an hour Time in minutes = 0.01316 × 60 Time in minutes ≈ 0.7896 minutesRound time to nearest minute: Round the time to the nearest minute. Time in minutes ≈ 0.7896 Rounded time = 1 minute (since we round to the nearest minute)

Full solution

More problems from Rate of travel: word problems

Related topics