City G and City H is 260 km apart. Bobby left City G for City H at 10.00 a.m. travelling at an average speed of 65 km/h. Japheth left City G later than Bobby and caught up with him at 12.00 p.m. Japheth was travelling at a speed of 78 km/h.
- At what time did Japheth leave City G?
- How much later did Bobby arrive in City H than Japheth? 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 Bobby covered when Japheth caught up with Bobby
= 2 x 65
= 130 km
Time that Japheth took to travel 130 km
= 130 ÷ 78
= 1
23 h
1 h = 60 min
23 h =
23 x 60 = 40 min
1
23 h = 1 h 40 min
Time that Japheth left City G:
1 h 40 min before 12.00 p.m. = 10.20 a.m.
(b)
Remaining distance that they had to cover to reach City H
= 260 - 130
= 130 km
Duration that Japheth had to travel before reaching City H
= 130 ÷ 78
= 1
23 h
Duration that Bobby had to travel before reaching City H
= 130 ÷ 65
= 2 h
Duration that Bobby took to arrive later than Japheth in City H
= 2 - 1
23=
13 h
Answer(s): (a) 10.20 a.m.; (b)
13 h
