Two trains are 150 miles apart approaching each other at 60 mph and 90 mph respectively. A fly sitting on one train starts flying from it reaches the second train and immediately turns back and flies back to the first train,and turns around again. It goes on flying back and forth until the two trains collide. If the speed of the fly is 130 miles per hour, how much distance did it flied?

general knowledge math & puzzles

  1. 150 miles

  2. 125 miles

  3. 120 miles

  4. 130 miles

Show answer
Correct Option: D

AI Explanation

To solve this problem, we need to find the time it takes for the two trains to collide.

Let's denote the distance traveled by the first train as x and the distance traveled by the second train as 150 - x.

Since distance = speed × time, we can write the following equations:

For the first train: x = 60t

For the second train: 150 - x = 90t

Solving these two equations simultaneously will give us the time it takes for the two trains to collide.

First, let's solve for x in terms of t from the first equation: x = 60t

Substituting this expression for x into the second equation, we get: 150 - (60t) = 90t

Simplifying this equation, we have: 150 = 150t

Dividing both sides of the equation by 150, we find: t = 1

Therefore, it takes 1 hour for the two trains to collide.

Now, let's find the distance traveled by the fly in that 1 hour.

The fly is traveling at a constant speed of 130 mph for the entire hour. Therefore, the distance traveled by the fly is: distance = speed × time = 130 × 1 = 130 miles

Therefore, the correct answer is D) 130 miles. The fly traveled a distance of 130 miles before the two trains collided.

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