At 10 55, Perry left Town H for Town J, driving at a speed of 93 km/h. At 12 55, Sam also left Town H for Town J driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 55, both of them passed a bank that was 186 km away from Town J. How many minutes earlier did Sam reach Town J than Perry?
Duration that Perry travelled from 10 55 to 15 55 = 5 h
Distance that Perry travelled
= 5 x 93
= 465 km
Distance between Town H and Town J
= 465 + 186
= 651 km
Since Sam passed the bank at the same time as Perry, it means that Sam travelled 465 km in 3 hours.
Sam's speed during the journey
= 465 ÷ 3
= 155 km/h
Duration that Sam took to reach Town J after passing the bank
= 186 ÷ 155
= 1.2 h
Duration that Perry took to reach Town J after passing the bank
= 186 ÷ 93
= 2 h
Difference between the time they took to reach Town J
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Sam reached Town J 48 minutes earlier than Perry.
Answer(s): 48 min