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Mary is planning to fly to London - Junior Cycle Mathematics - Question 3 - 2014

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Mary is planning to fly to London. The table shows the flights leaving Dublin Airport (DUB) and arriving in London Heathrow Airport (LHR) on a particular day. - Dep... show full transcript

Worked Solution & Example Answer:Mary is planning to fly to London - Junior Cycle Mathematics - Question 3 - 2014

Step 1

Mary needs to arrive in Heathrow by 10:30 a.m. What is the departure time of the latest flight that she can take from Dublin Airport?

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Answer

To arrive by 10:30 a.m. the latest flight she can take is the 08:50 flight, as it arrives in London at 10:15 a.m., which is still before her required arrival time.

Step 2

Find the time of her flight in hours and minutes.

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Answer

The flight leaves at 08:50 and arrives at 10:15. The duration of the flight is calculated as follows:

  • From 08:50 to 10:15 is 1 hour and 25 minutes.

Step 3

Mary would like to arrive in Dublin Airport 75 minutes before that flight leaves. At what time should she arrive at the airport?

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Answer

If the flight departs at 08:50, we subtract 75 minutes:

  1. 75 minutes is 1 hour and 15 minutes.
  2. 08:50 - 01:15 = 07:35

Thus, she should arrive at the airport by 07:35.

Step 4

Find how much the taxes and charges amount to.

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Answer

Let x represent the price for taxes and charges:

  • Total = Fare + Taxes and Charges
  • 133.88 = 74.99 + 25.00 + x
  • 133.88 - 99.99 = x
  • x = 33.89

So, the taxes and charges amount to £33.89.

Step 5

Find the average speed of the airplane during the flight, in km/h.

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Answer

The flight distance is 464 km and the flight duration is 1.4167 hours. The average speed can be calculated using the formula:

ext{Speed} = rac{ ext{Distance}}{ ext{Time}} = rac{464}{1.4167} \\ ext{Speed} ext{ is approximately } 327.5 ext{ km/h (to one decimal place)}

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