At 10 50, Billy left Town P for Town Q, driving at a speed of 63 km/h. At 12 50, Neave also left Town P for Town Q driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 50, both of them passed a temple that was 126 km away from Town Q. How many minutes earlier did Neave reach Town Q than Billy?
Duration that Billy travelled from 10 50 to 15 50 = 5 h
Distance that Billy travelled
= 5 x 63
= 315 km
Distance between Town P and Town Q
= 315 + 126
= 441 km
Since Neave passed the temple at the same time as Billy, it means that Neave travelled 315 km in 3 hours.
Neave's speed during the journey
= 315 ÷ 3
= 105 km/h
Duration that Neave took to reach Town Q after passing the temple
= 126 ÷ 105
= 1.2 h
Duration that Billy took to reach Town Q after passing the temple
= 126 ÷ 63
= 2 h
Difference between the time they took to reach Town Q
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Neave reached Town Q 48 minutes earlier than Billy.
Answer(s): 48 min