City Q and City R is 288 km apart. Warren left City Q for City R at 10.00 a.m. travelling at an average speed of 72 km/h. Howard left City Q later than Warren and caught up with him at 12.00 p.m. Howard was travelling at a speed of 108 km/h.
- At what time did Howard leave City Q?
- How much later did Warren arrive in City R than Howard? Express your answer in h as a fraction or mixed number.
(a)
From 10.00 a.m. to 12.00 p.m. = 2 h
Distance that Warren covered when Howard caught up with Warren
= 2 x 72
= 144 km
Time that Howard took to travel 144 km
= 144 ÷ 108
= 1
13 h
1 h = 60 min
13 h =
13 x 60 = 20 min
1
13 h = 1 h 20 min
Time that Howard left City Q:
1 h 20 min before 12.00 p.m. = 10.40 a.m.
(b)
Remaining distance that they had to cover to reach City R
= 288 - 144
= 144 km
Duration that Howard had to travel before reaching City R
= 144 ÷ 108
= 1
13 h
Duration that Warren had to travel before reaching City R
= 144 ÷ 72
= 2 h
Duration that Warren took to arrive later than Howard in City R
= 2 - 1
13=
23 h
Answer(s): (a) 10.40 a.m.; (b)
23 h