Boat A leaves point 1 for point 2 traveling at 52 mph. At the same time boat b leaves from point 2 to point 1 at 74 mph. Assume the distance from point 1 to point 2 is 882 miles. How long will it take them to meet? Give your answer in hours.
A) 3
B) 4
C) 6
D) 7
To find the time it will take for the two boats to meet, we need to use the formula:
Time = Distance / Speed
Let's first find the distance each boat has traveled when they meet.
Boat A is traveling from point 1 to point 2 at a speed of 52 mph. So the distance it travels when it meets is:
Distance traveled by Boat A = Speed * Time
Distance traveled by Boat A = 52 mph * Time
Similarly, Boat B is traveling from point 2 to point 1 at a speed of 74 mph. So the distance it travels when it meets is:
Distance traveled by Boat B = Speed * Time
Distance traveled by Boat B = 74 mph * Time
Since they are traveling towards each other, the total distance traveled by both boats when they meet will be equal to the total distance between point 1 and point 2, which is 882 miles.
Therefore, we can write the equation:
Distance traveled by Boat A + Distance traveled by Boat B = Total Distance
52 mph * Time + 74 mph * Time = 882 miles
Now we can solve for Time:
126 mph * Time = 882 miles
Divide both sides of the equation by 126 mph:
Time = 882 miles / 126 mph
Time = 7 hours
Therefore, it will take 7 hours for the two boats to meet.
The correct answer is option D) 7.