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QuestionAn aircraft flies from A to B at 585mph585 \mathrm{mph} and returns at 540mph540 \mathrm{mph}. Return took 13 hours. Total journey time?

Studdy Solution

STEP 1

Assumptions1. The speed of the outbound flight is585 mph. The speed of the return flight is540 mph3. The return trip took13 hours4. The distance from Airport A to Airport B is the same as the distance from Airport B to Airport A

STEP 2

First, we need to find the distance of the return trip. We can do this by multiplying the speed of the return flight by the time it took.
Distance=SpeedtimesTimeDistance = Speed \\times Time

STEP 3

Now, plug in the given values for the speed and time of the return trip to calculate the distance.
Distance=540 mphtimes13 hoursDistance =540\, mph \\times13\, hours

STEP 4

Calculate the distance of the return trip.
Distance=540 mphtimes13 hours=7020 milesDistance =540\, mph \\times13\, hours =7020\, miles

STEP 5

Now that we have the distance of the return trip, which is the same as the distance of the outbound trip, we can find the time it took for the outbound trip. This can be done by dividing the distance by the speed of the outbound flight.
Time=Distance/SpeedTime = Distance / Speed

STEP 6

Plug in the values for the distance and the speed of the outbound flight to calculate the time of the outbound trip.
Time=7020 miles/585 mphTime =7020\, miles /585\, mph

STEP 7

Calculate the time of the outbound trip.
Time=7020 miles/585 mph≈12 hoursTime =7020\, miles /585\, mph \approx12\, hours

STEP 8

Now that we have the time of the outbound trip and the time of the return trip, we can find the total time of the journey. This can be done by adding the time of the outbound trip to the time of the return trip.
Total time=Timeoutbound+TimereturnTotal\, time = Time_{outbound} + Time_{return}

STEP 9

Plug in the values for the time of the outbound trip and the time of the return trip to calculate the total time.
Total time=12 hours+13 hoursTotal\, time =12\, hours +13\, hours

STEP 10

Calculate the total time of the journey.
Total time=12 hours+13 hours=25 hoursTotal\, time =12\, hours +13\, hours =25\, hoursThe total journey took25 hours.

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