In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers, from the dormitory to the city? (A) 30 (B) 45 (C) 60 (D) 90 (E) 120

C

Step-by-step explanation:

Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.

We can get this by subtracting the fractions of the first two phases from 1.

This goes as follows:

1 - (1/5) - (2/3) = 2/15

Now, we know that the final 8 kilometers constitute a fraction of just 2/5

Hence, we know that 2/15 of the total journey is 8 kilometers.

Let the total journey distance be T. This means that 2/15 of T is 8km

2/15 * T = 8km

T = (8 * 15) / 2 = 120/2 = 60km