Question
A train travels from Town A to Town B at a speed of 80 mph. On the return trip from Town B to Town A, it travels at 60 mph. If the round trip takes 7 hours, what is the distance between the two towns?
A train travels from Town A to Town B at a speed of 80 mph. On the return trip from Town B to Town A, it travels at 60 mph. If the round trip takes 7 hours, what is the distance between the two towns?
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Koala Tutor
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Let the distance between the two towns be D.
The time taken to travel from Town A to Town B is D/80.
The time taken to travel from Town B to Town A is D/60.
The total time taken for the round trip is D/80 + D/60, which is equal to 7 hours.
Therefore, D/80 + D/60 = 7
Multiplying through by 240, we get 3D + 4D = 1680
7D = 1680
D = 240
The distance between the two towns is 240 miles. Answer: \boxed{240}.
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