A man performs $\frac{3}{5}$ of the total journey by rail, $\frac{7}{20}$ 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
Let the total journey be 100x km
⇒ He covers 3/5(100x) by rail
⇒ He covers 60x km by rail
⇒ 7/20(100x) km by bus
⇒ 35x km by bus
⇒ Remaining journey = 100x - (60x + 35x)
⇒ Remaining journey = 5x
⇒ 5x = 6.5 ( which he covers by foot)
⇒ 100x = 130 km