Ivan started driving from City R towards City S at 14 40 at an average speed of 60 km/h. Nick began driving from City R towards City S at 16 20 at an average speed of 100 km/h.

1. At what time did Nick pass Ivan on the road?
2. 1¹₄ hours after passing Ivan, Nick reached City S. At what time did Ivan reach City S?

(a)
From 14 40 to 16 20 = 1 h 40 min

Time that Ivan travelled before Nick started driving = 1 h 40 min

1 h = 60 min
1 h 40 min = 1⁴⁰₆₀ h = 1²₃ h

Distance that Ivan travelled before Nick started driving
= 1²₃ x 60
= ⁵₃ x 60
= 100 km

Difference between Nick's and Ivan's speed
= 100 - 60
= 40 km/h

Time that Nick took to catch up with Ivan
= 100 ÷ 40
= 2.5 h
= 2 h 30 min

2 h 30 min after 16 20 = 18 50

Time that Nick passed Ivan on the road = 18 50

(b)
1¹₄ h = 1 h 15 min

Total time that Nick travelled
= 1 h 15 min + 2 h 30 min
= 3 h 45 min

3 h 45 min = 3⁴⁵₆₀h = 3³₄h

Distance between City R and City S
= 3³₄ x 100
= 375 km

Time that Ivan travelled from City R to City S
= 375 ÷ 60
= 6.25 h
= 6 h 15 min

6 h 15 min after 14 40 = 20 55

Time that Ivan reached City S = 20 55

Answer: (a) 18 50; (b) 20 55