City R and City S is 375 km apart. Flynn left City R for City S at 7.00 a.m. travelling at an average speed of 75 km/h. Glen left City R later than Flynn and caught up with him at 10.00 a.m. Glen was travelling at a speed of 100 km/h.

1. At what time did Glen leave City R?
2. How much later did Flynn arrive in City S than Glen? Express your answer in h as a fraction or mixed number.

(a)
From 7.00 a.m. to 10.00 a.m. = 3 h

Distance that Flynn covered when Glen caught up with Flynn
= 3 x 75
= 225 km

Time that Glen took to travel 225 km
= 225 ÷ 100
= 2¹₄ h

1 h = 60 min
¹₄ h = ¹₄ x 60 = 15 min
2¹₄ h = 2 h 15 min

Time that Glen left City R:
2 h 15 min before 10.00 a.m. = 7.45 a.m.

(b)
Remaining distance that they had to cover to reach City S
= 375 - 225
= 150 km

Duration that Glen had to travel before reaching City S
= 150 ÷ 100
= 1¹₂ h

Duration that Flynn had to travel before reaching City S
= 150 ÷ 75
= 2 h

Duration that Flynn took to arrive later than Glen in City S
= 2 - 1¹₂
= ¹₂ h

Answer(s): (a) 7.45 a.m.; (b) ¹₂ h