At 11 15, Ivan left Town A for Town B, driving at a speed of 75 km/h. At 13 15, Daniel also left Town A for Town B driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 15, both of them passed a mosque that was 150 km away from Town B. How many minutes earlier did Daniel reach Town B than Ivan?
Duration that Ivan travelled from 11 15 to 16 15 = 5 h
Distance that Ivan travelled
= 5 x 75
= 375 km
Distance between Town A and Town B
= 375 + 150
= 525 km
Since Daniel passed the mosque at the same time as Ivan, it means that Daniel travelled 375 km in 3 hours.
Daniel's speed during the journey
= 375 ÷ 3
= 125 km/h
Duration that Daniel took to reach Town B after passing the mosque
= 150 ÷ 125
= 1.2 h
Duration that Ivan took to reach Town B after passing the mosque
= 150 ÷ 75
= 2 h
Difference between the time they took to reach Town B
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Daniel reached Town B 48 minutes earlier than Ivan.
Answer(s): 48 min