Question

Train A and Train B start off at the same point and are traveling in the same direction. It takes Train A 30 minutes to get to Station X, moving at 100 miles per hour. It takes Train B 100 minutes to get to Station Y, moving at 30 miles per hour. What is the difference in the distances to Station X and Station Y?

Answer 1

Answer:

No difference

Step-by-step explanation:

The given parameters are;

The point Train A starts off = The point Train B starts off

The direction of travel of Train A = The direction of travel of Train B

The time it takes Train A to get to Station X, t₁ = 30 minutes = 0.5 hour

The speed of Train A, v₁ = 100 miles per hour

The time it takes Train B to get to Station Y, t₂ = 100 minutes = (5/3) hours

The speed of Train B, v₂ = 30 miles per hour

The distance from the starting point to Station X, d₁, is given as follows;

v₁ = d₁/t₁

∴ d₁ = v₁ × t₁

By substituting the known values, we have;

d₁ = 100 mph × 0.5 h = 50 miles

The distance from the starting point to Station Y, d₂, is given as follows;

v₂ = d₂/t₂

∴ d₂ = v₂ × t₂

By substituting the known values, we have;

d₂ = 30 mph × (5/3) h = 50 miles

Therefore;

The difference in the distances to Station X and Station Y = d₁ - d₂

d₁ - d₂ = 50 miles - 50 miles = 0

∴ The difference in the distances to Station X and Station Y = 0 (No difference).