At 10 25, Vaidev left Town S for Town T, driving at a speed of 75 km/h. At 13 25, Xavier also left Town S for Town T driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 25, both of them passed a clinic that was 225 km away from Town T. How many minutes earlier did Xavier reach Town T than Vaidev?
Duration that Vaidev travelled from 10 25 to 16 25 = 6 h
Distance that Vaidev travelled
= 6 x 75
= 450 km
Distance between Town S and Town T
= 450 + 225
= 675 km
Since Xavier passed the clinic at the same time as Vaidev, it means that Xavier travelled 450 km in 3 hours.
Xavier's speed during the journey
= 450 ÷ 3
= 150 km/h
Duration that Xavier took to reach Town T after passing the clinic
= 225 ÷ 150
= 1.5 h
Duration that Vaidev took to reach Town T after passing the clinic
= 225 ÷ 75
= 3 h
Difference between the time they took to reach Town T
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Xavier reached Town T 90 minutes earlier than Vaidev.
Answer(s): 90 min