At 11 45, Dylan left Town Q for Town R, driving at a speed of 88 km/h. At 13 45, Billy also left Town Q for Town R driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 45, both of them passed a salon that was 264 km away from Town R. How many minutes earlier did Billy reach Town R than Dylan?
Duration that Dylan travelled from 11 45 to 15 45 = 4 h
Distance that Dylan travelled
= 4 x 88
= 352 km
Distance between Town Q and Town R
= 352 + 264
= 616 km
Since Billy passed the salon at the same time as Dylan, it means that Billy travelled 352 km in 2 hours.
Billy's speed during the journey
= 352 ÷ 2
= 176 km/h
Duration that Billy took to reach Town R after passing the salon
= 264 ÷ 176
= 1.5 h
Duration that Dylan took to reach Town R after passing the salon
= 264 ÷ 88
= 3 h
Difference between the time they took to reach Town R
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Billy reached Town R 90 minutes earlier than Dylan.
Answer(s): 90 min