Percentages, SM-Bank 030

Marty and Paul swam 3 kilometres in an ocean swimming race.

Marty finished in a time of 1 hour and 10 minutes.

Paul took 25% longer than Marty.

How long did Paul take to finish the race? (2 marks)

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\(87.5\ \text{minutes}\)

Show Worked Solution

\(\text{Solution 1}\)

\(\text{Paul’s time}\)	\(=1\ \text{hour and 10 minutes}+(25\%\times 1\ \text{hour and 10 minutes})\)
	\(=70+17.5\)
	\(=87.5\ \text{minutes}\)

\(\text{Solution 2 (Advanced)}\)

\(\text{Paul’s time}\)

\(= (1\ \text{hour and 10 minutes})\times 125\%\)

\(= 70\times 1.25\)

\(= 87.5\ \text{minutes}\)

\(\therefore\ \text{Paul took 87.5 minutes to complete the race.}\)