A man performs \(\displaystyle\frac{3}{5}\) of the total journey by rail, \(\displaystyle\frac{7}{20}\) of the journey by bus and the remaining 6.5 km on foot. What is his total journey (in km)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 130
The parts of the journey by rail and by bus are fractions of the whole, so the distance walked is the fraction left over, and that fraction is 6.5 km.
Rail and bus together: \(\displaystyle\frac{3}{5}+\frac{7}{20}=\frac{12}{20}+\frac{7}{20}=\frac{19}{20}\) of the journey
On foot: \(\displaystyle1-\frac{19}{20}=\frac{1}{20}\) of the journey \(=6.5\) km
Whole journey: \(6.5\times20=130\) km