Zeph started driving from Town H towards Town J at 13 40 at an average speed of 60 km/h. Perry began driving from Town H towards Town J at 15 20 at an average speed of 100 km/h.

1. At what time did Perry pass Zeph on the road?
2. 1¹₄ hours after passing Zeph, Perry reached Town J. At what time did Zeph reach Town J?

(a)
From 13 40 to 15 20 = 1 h 40 min

Time that Zeph travelled before Perry started driving = 1 h 40 min

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

Distance that Zeph travelled before Perry started driving
= 1²₃ x 60
= ⁵₃ x 60
= 100 km

Difference between Perry's and Zeph's speed
= 100 - 60
= 40 km/h

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

2 h 30 min after 15 20 = 17 50

Time that Perry passed Zeph on the road = 17 50

(b)
1¹₄ h = 1 h 15 min

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

3 h 45 min = 3⁴⁵₆₀h = 3³₄h

Distance between Town H and Town J
= 3³₄ x 100
= 375 km

Time that Zeph travelled from Town H to Town J
= 375 ÷ 60
= 6.25 h
= 6 h 15 min

6 h 15 min after 13 40 = 19 55

Time that Zeph reached Town J = 19 55

Answer: (a) 17 50; (b) 19 55