A motorcyclist completes a certain journey in 5 hours. He covers one-third of the distance at 60 km/hr and the rest at 80km/hr. the length of the trip is -

Question: A motorcyclist completes a certain journey in 5 hours. He covers one-third of the distance at 60 km/hr and the rest at 80km/hr. the length of the trip is -

Solution:
Let the total length of the trip be = x km
one-third or x/3 distance covered at 60km/hr.
time = (x/3)/60 hr

Two-thirds of the distance covered at 80km/hr
time = (2x/3)/80 hr

ATQ,
(x/3)/60 + (2x/3)/80 = 5
or, (2x + 3x)/360 = 5
or, 5x/360 = 5
∴ x = 360 km