Mary is planning to fly to London - Junior Cycle Mathematics - Question 3 - 2014
Question 3
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.
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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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If the flight departs at 08:50, we subtract 75 minutes:
75 minutes is 1 hour and 15 minutes.
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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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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