Answer: He is [tex]\dfrac{1}{10}[/tex] of the distance from start to check point 1.
Step-by-step explanation:
Since we have given that
When you get to the first checkpoint
he is 2/5 of the distance away to the second checkpoint.= [tex]\dfrac{2}{5}[/tex]
When you get to the second checkpoint you are 1/4 of the distance to the finish. = [tex]\dfrac{1}{4}[/tex]
so, the distance from start to the check point 1 is given by
[tex]\dfrac{2}{5}\times \dfrac{1}{4}\\\\=\dfrac{2}{20}\\\\=\dfrac{1}{10}[/tex]
Hence, he is [tex]\dfrac{1}{10}[/tex] of the distance from start to check point 1.