At 13 45, Harry left Town Y for Town Z, driving at a speed of 71 km/h. At 16 45, Fred also left Town Y for Town Z driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 45, both of them passed a school that was 213 km away from Town Z. How many minutes earlier did Fred reach Town Z than Harry?
Duration that Harry travelled from 13 45 to 19 45 = 6 h
Distance that Harry travelled
= 6 x 71
= 426 km
Distance between Town Y and Town Z
= 426 + 213
= 639 km
Since Fred passed the school at the same time as Harry, it means that Fred travelled 426 km in 3 hours.
Fred's speed during the journey
= 426 ÷ 3
= 142 km/h
Duration that Fred took to reach Town Z after passing the school
= 213 ÷ 142
= 1.5 h
Duration that Harry took to reach Town Z after passing the school
= 213 ÷ 71
= 3 h
Difference between the time they took to reach Town Z
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Fred reached Town Z 90 minutes earlier than Harry.
Answer(s): 90 min