Final answer:
The two trains meet after 2 hours, and the meeting point is 140 miles from Westford. To find this, we calculated the relative speed by adding both trains' speeds and divided the distance by this relative speed to find the time, then used Train A's speed to find the distance from Westford.
Step-by-step explanation:
To determine how long before the two trains meet and how far from each city they do, we need to calculate the relative speed of the trains and then use that to find the meeting time and distance. Since the trains are moving towards each other, we can add their speeds to get the relative speed.
The sum of Train A's and Train B's speeds is 70 mph + 60 mph = 130 mph. This is the speed at which the distance between the two trains is decreasing. Now we divide the total distance between the cities, which is 260 miles, by the relative speed to calculate the time they will take to meet:
Time = Distance / Relative Speed = 260 miles / 130 mph = 2 hours.
Next, to find out how far from Westford the trains meet, we multiply Train A's speed by the meeting time:
Distance from Westford = Train A's speed × Time = 70 mph × 2 hours = 140 miles from Westford.
Therefore, the correct answer is:
(a) They meet after 2 hours, 140 miles from Westford. Since this option is not listed in the provided choices, there might be an error in the statement of the question, as none of the given choices correctly correspond to the calculated answer.