Two motorcycles are traveling at speeds of 120 kilometers per hour and 90 kilometers per hour respectively. If the faster one travels for 4 hours longer than the slower one and also goes twice as far, how far did the slow one travel?
T is the time traveled by the slower one (120km/hr)(T+4hrs)=2(90km/hr)(T) 120T+480=180T 480=(60T) 8=T The slow one traveled 8 hours.
(8hrs)(90km/hr)=720km ANSWER: The slower bike traveled 720 km . CHECK: (120km/hr)(T+4hrs)=2(90km/hr)(T) (120km/hr)(8hrs+4hrs)=2(90km/hr)(8hrs) 1440km=2(720km) 1440km=1440km
