City G and City H is 320 km apart. Simon left City G for City H at 7.00 a.m. travelling at an average speed of 64 km/h. Asher left City G later than Simon and caught up with him at 9.00 a.m. Asher was travelling at a speed of 96 km/h.
- At what time did Asher leave City G?
- How much later did Simon arrive in City H than Asher? Express your answer in h as a fraction or mixed number.
(a)
From 7.00 a.m. to 9.00 a.m. = 2 h
Distance that Simon covered when Asher caught up with Simon
= 2 x 64
= 128 km
Time that Asher took to travel 128 km
= 128 ÷ 96
= 1
13 h
1 h = 60 min
13 h =
13 x 60 = 20 min
1
13 h = 1 h 20 min
Time that Asher left City G:
1 h 20 min before 9.00 a.m. = 7.40 a.m.
(b)
Remaining distance that they had to cover to reach City H
= 320 - 128
= 192 km
Duration that Asher had to travel before reaching City H
= 192 ÷ 96
= 2 h
Duration that Simon had to travel before reaching City H
= 192 ÷ 64
= 3 h
Duration that Simon took to arrive later than Asher in City H
= 3 - 2
= 1 h
Answer(s): (a) 7.40 a.m.; (b) 1 h