Three-Day Hike Distances

Jonas and Victor went on a three-day hike starting Friday. On the first day, they covered a fifth of the total route. On Saturday, they covered three-quarters of the remaining distance, and had 20 km left for Sunday.
What percentage of the total route did the boys cover in the first two days?
How far did the boys hike on Friday?
What was the total length of the three-day hike?

Final Answer:

a =  80 %
b =  20 km
c =  100 km

Step-by-step explanation:

$a=100\cdot (\frac{1}{5}+\frac{3}{4}\cdot (1-\frac{1}{5}))=80\%$

$$\begin{gathered} c/5+3/4\cdot (c-c/5)+20=c \\ 0.2c=20 \\ \frac{1}{5}c=20 \\ c=100 \\ b=c/5=100/5=20\text{km} \end{gathered}$$

c/5 + 3/4·(c-c/5) + 20 = c

4c = 400


c = 400/4 = 100

c = 100

Our simple equation calculator calculates it.

$c=100=100\text{km}$

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