City L and City M is 468 km apart. Glen left City L for City M at 11.00 a.m. travelling at an average speed of 78 km/h. Peter left City L later than Glen and caught up with him at 1.00 p.m. Peter was travelling at a speed of 104 km/h.
- At what time did Peter leave City L?
- How much later did Glen arrive in City M than Peter? Express your answer in h as a fraction or mixed number.
(a)
From 11.00 a.m. to 1.00 p.m. = 2 h
Distance that Glen covered when Peter caught up with Glen
= 2 x 78
= 156 km
Time that Peter took to travel 156 km
= 156 ÷ 104
= 1
12 h
1 h = 60 min
12 h =
12 x 60 = 30 min
1
12 h = 1 h 30 min
Time that Peter left City L:
1 h 30 min before 1.00 p.m. = 11.30 a.m.
(b)
Remaining distance that they had to cover to reach City M
= 468 - 156
= 312 km
Duration that Peter had to travel before reaching City M
= 312 ÷ 104
= 3 h
Duration that Glen had to travel before reaching City M
= 312 ÷ 78
= 4 h
Duration that Glen took to arrive later than Peter in City M
= 4 - 3
= 1 h
Answer(s): (a) 11.30 a.m.; (b) 1 h