For a road trip a car of travelers can take the direct route or the scenic route. The scenic route takes 25% longer than the direct route. The group decides to take the direct route to their destination, and the scenic route on the return trip. If the total travel time to and from the destination is 12 hours, how long did the scenic route take?
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10
Time taken via travelling through scenic route = 20/3 hours
Total time to and from the destination = 12 hours
=> Time taken to go via direct route + time taken to return via scenic route = 12
Let time taken to go via scenic route = t
Time taken via scenic route = t + (25/100)t = 1.25
Total time taken = 12 hours
=> t + 1.25t = 12
=> 2.25t = 12
=> t = 12/2.25
=> t = 16/3 hours
Time taken via travelling through scenic route = 1.25 t
= 20/3 hours
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3
Answer:
6 hours, 40 minutes
Step-by-step explanation:
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