It took the pilot half an hour to complete one-third of the trip, to determine how much it will take him to complete the trip, you can use cross multiplication to determine it.
1/3 of the trip → 1/2 hour
Whole trip → x hours
Let "1" represent the whole trip, that is, all three parts of it. Both relationships are at the same ratio so that:
[tex]\begin{gathered} \frac{\frac{1}{2}}{\frac{1}{3}}=\frac{x}{1} \\ \frac{\frac{1}{2}}{\frac{1}{3}}=x \end{gathered}[/tex]When you divide by a fraction, is the same as multiplying the dividend by the reciprocal fraction of the divisor, you can write the expression as follows:
[tex]\begin{gathered} \frac{1}{2}\cdot\frac{3}{1}=x \\ \frac{1}{2}\cdot3=x \\ x=\frac{3}{2}=1.5 \end{gathered}[/tex]It will take him one and a half hours to complete the trip.
