Mary is planning to fly to London - Junior Cycle Mathematics - Question 3 - 2011
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 - 2011
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
The latest flight that arrives in Heathrow before 10:30 a.m. is the 08:50 flight, which arrives at 10:15. Therefore, Mary can take the 08:50 flight.
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. To find the duration of the flight, we calculate:
10:15 - 08:50 = 01:25
Thus, the flight takes 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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The flight leaves at 08:50. To determine when Mary should arrive, we subtract 75 minutes from 08:50:
75 minutes is equivalent to 1 hour and 15 minutes. Subtracting gives:
08:50 - 01:15 = 07:35
Mary should arrive at the airport by 07:35 a.m.
Step 4
Find how much the taxes and charges amount to.
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Let x represent the price for taxes and charges. We know that:
74.99 + x + 25.00 = 133.88
Solving for x:
x = 133.88 - 74.99 - 25.00 = 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 distance from Dublin to London is 464 km, and the time of the flight is 1 hour and 25 minutes, which equals:
1 hour + 25/60 hours = 1.4167 hours.
Average speed is calculated as:
Speed = Distance / Time = 464 km / 1.4167 h ≈ 327.5 km/h.
Thus, the average speed of the airplane is approximately 327.5 km/h.
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