Question
A truck travels from City X to City Y at an average speed of 40 mph and returns at an average speed of 30 mph. If the round trip takes 10 hours, what is the distance between the two cities?
A truck travels from City X to City Y at an average speed of 40 mph and returns at an average speed of 30 mph. If the round trip takes 10 hours, what is the distance between the two cities?
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Koala Tutor
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Let the distance between City X and City Y be D.
The time taken to travel from City X to City Y is D/40.
The time taken to travel from City Y to City X is D/30.
The total time taken for the round trip is D/40 + D/30 = 10.
Multiplying through by 120 to eliminate the fractions, we get:
3D + 4D = 1200.
7D = 1200.
D = 1200/7.
So, the distance between City X and City Y is approximately 171.43 miles. Answer: \boxed{171.43}.
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