City V and City W is 384 km apart. Rael left City V for City W at 8.00 a.m. travelling at an average speed of 64 km/h. Ben left City V later than Rael and caught up with him at 10.00 a.m. Ben was travelling at a speed of 96 km/h.

1. At what time did Ben leave City V?
2. How much later did Rael arrive in City W than Ben? Express your answer in h as a fraction or mixed number.

(a)
From 8.00 a.m. to 10.00 a.m. = 2 h

Distance that Rael covered when Ben caught up with Rael
= 2 x 64
= 128 km

Time that Ben took to travel 128 km
= 128 ÷ 96
= 1¹₃ h

1 h = 60 min
¹₃ h = ¹₃ x 60 = 20 min
1¹₃ h = 1 h 20 min

Time that Ben left City V:
1 h 20 min before 10.00 a.m. = 8.40 a.m.

(b)
Remaining distance that they had to cover to reach City W
= 384 - 128
= 256 km

Duration that Ben had to travel before reaching City W
= 256 ÷ 96
= 2²₃ h

Duration that Rael had to travel before reaching City W
= 256 ÷ 64
= 4 h

Duration that Rael took to arrive later than Ben in City W
= 4 - 2²₃
= 1¹₃ h

Answer(s): (a) 8.40 a.m.; (b) 1¹₃ h