City V and City W is 375 km apart. Zeph left City V for City W at 8.00 a.m. travelling at an average speed of 75 km/h. Simon left City V later than Zeph and caught up with him at 11.00 a.m. Simon was travelling at a speed of 90 km/h.
- At what time did Simon leave City V?
- How much later did Zeph arrive in City W than Simon? Express your answer in h as a fraction or mixed number.
(a)
From 8.00 a.m. to 11.00 a.m. = 3 h
Distance that Zeph covered when Simon caught up with Zeph
= 3 x 75
= 225 km
Time that Simon took to travel 225 km
= 225 ÷ 90
= 2
12 h
1 h = 60 min
12 h =
12 x 60 = 30 min
2
12 h = 2 h 30 min
Time that Simon left City V:
2 h 30 min before 11.00 a.m. = 8.30 a.m.
(b)
Remaining distance that they had to cover to reach City W
= 375 - 225
= 150 km
Duration that Simon had to travel before reaching City W
= 150 ÷ 90
= 1
23 h
Duration that Zeph had to travel before reaching City W
= 150 ÷ 75
= 2 h
Duration that Zeph took to arrive later than Simon in City W
= 2 - 1
23=
13 h
Answer(s): (a) 8.30 a.m.; (b)
13 h