A man covers \(\frac{2}{15}\) of a total journey by train, \(\frac{19}{45}\) of the journey by bus and the remaining 40 kms on boat. His total journey (in kms) is?
Answer & explanation
Correct answer: option 4
Distance = LCM of the denominator of \(\frac{2}{15}\) and \(\frac{19}{45}\)
= 45 Unit
Journey by train = 45 × \(\frac{2}{15}\) = 6 km
Journey by bus = 45 × \(\frac{19}{45}\) = 19 km
Remaining Distance = 45 - (6 + 19) = 20 Units
20 Units → 40 km
45 Units → 90 km