At 12 15, Sam left Town Y for Town Z, driving at a speed of 76 km/h. At 13 15, Bryan also left Town Y for Town Z driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 15, both of them passed a salon that was 152 km away from Town Z. How many minutes earlier did Bryan reach Town Z than Sam?
Duration that Sam travelled from 12 15 to 17 15 = 5 h
Distance that Sam travelled
= 5 x 76
= 380 km
Distance between Town Y and Town Z
= 380 + 152
= 532 km
Since Bryan passed the salon at the same time as Sam, it means that Bryan travelled 380 km in 4 hours.
Bryan's speed during the journey
= 380 ÷ 4
= 95 km/h
Duration that Bryan took to reach Town Z after passing the salon
= 152 ÷ 95
= 1.6 h
Duration that Sam took to reach Town Z after passing the salon
= 152 ÷ 76
= 2 h
Difference between the time they took to reach Town Z
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Bryan reached Town Z 24 minutes earlier than Sam.
Answer(s): 24 min