A train traveled 34 miles in 20 minutes. How many mph was it traveling?
The train was traveling at 102 mph.
To determine the speed in miles per hour (mph), we convert the travel time from minutes to hours. The train covered 34 miles in 20 minutes, which is one-third of an hour. Therefore, dividing the distance by the time gives a speed of 102 mph.
Calculating the speed as 54 mph would imply a distance of approximately 18 miles in 20 minutes, which does not match the given distance of 34 miles. This option underestimates the train's speed based on the actual travel distance.
A speed of 68 mph translates to a distance of about 22.67 miles in 20 minutes, still less than the actual distance of 34 miles. This calculation inaccurately reflects the train's performance over the specified time.
If the train were traveling at 92 mph, it would cover approximately 30.67 miles in 20 minutes, which again is insufficient compared to the 34 miles actually traveled. This choice misrepresents the train's actual speed.
At 102 mph, the train would cover 34 miles in exactly 20 minutes, proving this option to be the correct calculation.
Choosing 170 mph suggests a distance of around 56.67 miles in 20 minutes, far exceeding the actual distance of 34 miles. This option incorrectly inflates the train's speed based on the provided data.
This option implies that none of the values represent the correct speed, which is incorrect since 102 mph accurately reflects the train's speed based on the distance and time provided.
The train's speed calculation confirms that it was traveling at 102 mph, as derived from the correct conversion of distance to time. Each incorrect option fails to accurately represent the train's performance, leading to values that either underestimate or overestimate the speed based on the given distance of 34 miles traveled in 20 minutes.
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