At 14 45, Nick left Town A for Town B, driving at a speed of 76 km/h. At 16 45, Sam also left Town A for Town B driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 45, both of them passed a grocery store that was 228 km away from Town B. How many minutes earlier did Sam reach Town B than Nick?
Duration that Nick travelled from 14 45 to 18 45 = 4 h
Distance that Nick travelled
= 4 x 76
= 304 km
Distance between Town A and Town B
= 304 + 228
= 532 km
Since Sam passed the grocery store at the same time as Nick, it means that Sam travelled 304 km in 2 hours.
Sam's speed during the journey
= 304 ÷ 2
= 152 km/h
Duration that Sam took to reach Town B after passing the grocery store
= 228 ÷ 152
= 1.5 h
Duration that Nick took to reach Town B after passing the grocery store
= 228 ÷ 76
= 3 h
Difference between the time they took to reach Town B
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Sam reached Town B 90 minutes earlier than Nick.
Answer(s): 90 min