At 14 40, Vaidev left Town Z for Town A, driving at a speed of 70 km/h. At 16 40, Pierre also left Town Z for Town A driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 40, both of them passed a museum that was 210 km away from Town A. How many minutes earlier did Pierre reach Town A than Vaidev?
Duration that Vaidev travelled from 14 40 to 18 40 = 4 h
Distance that Vaidev travelled
= 4 x 70
= 280 km
Distance between Town Z and Town A
= 280 + 210
= 490 km
Since Pierre passed the museum at the same time as Vaidev, it means that Pierre travelled 280 km in 2 hours.
Pierre's speed during the journey
= 280 ÷ 2
= 140 km/h
Duration that Pierre took to reach Town A after passing the museum
= 210 ÷ 140
= 1.5 h
Duration that Vaidev took to reach Town A after passing the museum
= 210 ÷ 70
= 3 h
Difference between the time they took to reach Town A
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Pierre reached Town A 90 minutes earlier than Vaidev.
Answer(s): 90 min