## Task 2 - 010622

An expedition covered $\frac{2}{5}$ of the distance on the first day, $\frac{1}{3}$ of the distance on the second day, and the remaining $1000 \mathrm{~km}$ on the third day.

a) What distances were covered on the first two days?

b) How long was the total distance?
On day 1 and 2, $\frac{2}{5}+\frac{1}{3}=\frac{11}{15}$ of the journey was covered. The $1000 \mathrm{~km}$ on the third day thus account for $\frac{4}{15}$ of the entire journey. $\frac{1}{15}$ of the journey is therefore $250 \mathrm{~km}$.

a) On the first day, $6 \cdot 250 \mathrm{~km}=1500 \mathrm{~km}$ and on the second day $5 \cdot 250 \mathrm{~km}=1250 \mathrm{~km}$ were covered.

b) The total distance is $3750 \mathrm{~km}$.