The table shows the start and the end time of two radio programmes on the same day.
ProgrammeStart timeEnd time
A10.45 a.m.12.20 p.m.
B5.20 p.m.?
Programme B is 20 minutes shorter than Programme A. At what time does Programme B end? Ans: ___ p.m.

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Worked solution

19

1. Calculate the duration of Programme A

From 10.45 a.m.10.45\text{ a.m.} to 12.00 p.m.12.00\text{ p.m.} is 1 hour 15 minutes1\text{ hour } 15\text{ minutes}.
From 12.00 p.m.12.00\text{ p.m.} to 12.20 p.m.12.20\text{ p.m.} is 20 minutes20\text{ minutes}.
Total duration of Programme A = 1 hour 15 minutes+20 minutes=1 hour 35 minutes1\text{ hour } 15\text{ minutes} + 20\text{ minutes} = 1\text{ hour } 35\text{ minutes}.

2. Calculate the duration of Programme B

Duration of Programme B = 1 hour 35 minutes−20 minutes=1 hour 15 minutes1\text{ hour } 35\text{ minutes} - 20\text{ minutes} = 1\text{ hour } 15\text{ minutes}.

3. Calculate the end time of Programme B

Start time of Programme B = 5.20 p.m.5.20\text{ p.m.}
End time = 5.20 p.m.+1 hour 15 minutes=6.35 p.m.5.20\text{ p.m.} + 1\text{ hour } 15\text{ minutes} = 6.35\text{ p.m.}

Answer

6.356.35

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