Question

a pilot took 1/2 hour to complete 1/3 of hjis trip. How much longer will it take him to complete his trip

Answer 1

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:

`\begin{gathered} ((1)/(2))/((1)/(3))=(x)/(1) \\ ((1)/(2))/((1)/(3))=x \end{gathered}`

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:

`\begin{gathered} (1)/(2)\cdot(3)/(1)=x \\ (1)/(2)\cdot3=x \\ x=(3)/(2)=1.5 \end{gathered}`

It will take him one and a half hours to complete the trip.