gsm8k-0016
1.000
Challenge · difficulty 2/5
# GSM8K Problem 17
Two trains leave San Rafael at the same time. They begin traveling westward, both traveling for 80 miles. The next day, they travel northwards, covering 150 miles. What's the distance covered by each train in the two days?
Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.
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Proposed solution
To find the total distance covered by each train, we simply need to add up the distances traveled on each day. The directions (westward and northward) are extra information that would only be needed if we were calculating the straight-line displacement from the starting point, but the question specifically asks for the total distance covered.
1. **First day distance:** Each train travels 80 miles.
2. **Second day distance:** Each train travels 150 miles.
3. **Total distance covered:** Add the distances from both days together.
\[ 80 \text{ miles} + 150 \text{ miles} = 230 \text{ miles} \]
The total distance covered by each train over the two days is 230 miles.
\boxed{230}