City A and City B is 360 km apart. Will left City A for City B at 10.00 a.m. travelling at an average speed of 60 km/h. Neave left City A later than Will and caught up with him at 2.00 p.m. Neave was travelling at a speed of 90 km/h.
- At what time did Neave leave City A?
- How much later did Will arrive in City B than Neave? Express your answer in h as a fraction or mixed number.
(a)
From 10.00 a.m. to 2.00 p.m. = 4 h
Distance that Will covered when Neave caught up with Will
= 4 x 60
= 240 km
Time that Neave took to travel 240 km
= 240 ÷ 90
= 2
23 h
1 h = 60 min
23 h =
23 x 60 = 40 min
2
23 h = 2 h 40 min
Time that Neave left City A:
2 h 40 min before 2.00 p.m. = 11.20 a.m.
(b)
Remaining distance that they had to cover to reach City B
= 360 - 240
= 120 km
Duration that Neave had to travel before reaching City B
= 120 ÷ 90
= 1
13 h
Duration that Will had to travel before reaching City B
= 120 ÷ 60
= 2 h
Duration that Will took to arrive later than Neave in City B
= 2 - 1
13=
23 h
Answer(s): (a) 11.20 a.m.; (b)
23 h