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15) A diesel train left Miami and traveled

toward the outer-most station at an
average speed of 25 km/h. Sometime later
a freight train left traveling in the same
direction but at an average speed of 40
km/h. After traveling for ten hours the
freight train caught up with the diesel
train. Find the number of hours the diesel
train traveled before the freight train
caught up.

User Peolss
by
4.2k points

1 Answer

1 vote

Answer:

12.5 hours

Explanation:

To solve this problem, we can set up the following equation:

(distance traveled by diesel train) / (speed of diesel train) = (distance traveled by freight train) / (speed of freight train)

Substituting the given values and solving for the distance traveled by the diesel train, we get:

(distance traveled by diesel train) / 25 km/h = 10 hours / 40 km/h

Multiplying both sides of the equation by 25 km/h gives:

distance traveled by diesel train = (10 hours / 40 km/h) * 25 km/h

Simplifying this expression gives:

distance traveled by diesel train = 10 hours * (25 km/h / 40 km/h)

Which simplifies to:

distance traveled by diesel train = 10 hours * (5/8)

Therefore, the diesel train traveled for 10 * (5/8) = 1.25 * 10 = 12.5 hours before the freight train caught up.

User Tamik Soziev
by
4.3k points