Question

A is 60 miles from B. An automobile at A moves toward B at the rate of 20 miles an hour at the same time that an automobile at B moves toward A at the rate of 25 miles an hour. How long will it be before the automobiles meet (in hours)?

A) 1/3
B) 1.1/3
C) 3

Answer 1

The automobiles will meet in 1 and 1/3 hours.

Step-by-step explanation:

To find out how long it will take for the automobiles to meet, we can use the concept of relative speed. The rate at which the automobiles are approaching each other is the sum of their individual speeds, which is 20 mph + 25 mph = 45 mph.

Since the distance between A and B is 60 miles, we can use the formula:

Time = Distance / Speed

Time = 60 miles / 45 mph

Time = 4/3 hours

Therefore, the automobiles will meet in 4/3 hours, which is equal to 1 and 1/3 hours. So, the correct answer is option B) 1 and 1/3.