AFCT Arithmetic Reasoning Practice Test 2025 – All-in-One Guide to Master Exam Success!

Question: 1 / 400

A train travels from A to B at 60 miles per hour and from B to C at 80 miles per hour. What is the average speed for the whole trip if the distances are equal?

64 miles per hour

70 miles per hour

72 miles per hour

To find the average speed for the whole trip when the distances from A to B and B to C are equal, we can use the formula for average speed, which is total distance divided by total time.

Given that the speeds for the two segments of the trip are different, we first need to understand the time taken for each segment based on the distances being equal.

Let's denote the distance from A to B and B to C as "d."

1. The time it takes to travel from A to B is calculated by dividing the distance by the speed:

Time from A to B = d / 60 hours.

2. The time it takes to travel from B to C is:

Time from B to C = d / 80 hours.

Now, to find the total time taken for the trip:

Total time = (d / 60) + (d / 80).

To add these fractions, we need a common denominator, which is 240:

- For the first term: (d / 60) = (4d / 240).

- For the second term: (d / 80) = (3d / 240).

So, total time = (4d / 240) + (

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75 miles per hour

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