City J and City K is 539 km apart. Ivan left City J for City K at 9.00 a.m. travelling at an average speed of 77 km/h. George left City J later than Ivan and caught up with him at 1.00 p.m. George was travelling at a speed of 112 km/h.
- At what time did George leave City J?
- How much later did Ivan arrive in City K than George? Express your answer in h as a fraction or mixed number.
(a)
From 9.00 a.m. to 1.00 p.m. = 4 h
Distance that Ivan covered when George caught up with Ivan
= 4 x 77
= 308 km
Time that George took to travel 308 km
= 308 ÷ 112
= 2
34 h
1 h = 60 min
34 h =
34 x 60 = 45 min
2
34 h = 2 h 45 min
Time that George left City J:
2 h 45 min before 1.00 p.m. = 10.15 a.m.
(b)
Remaining distance that they had to cover to reach City K
= 539 - 308
= 231 km
Duration that George had to travel before reaching City K
= 231 ÷ 112
= 2
116 h
Duration that Ivan had to travel before reaching City K
= 231 ÷ 77
= 3 h
Duration that Ivan took to arrive later than George in City K
= 3 - 2
116=
1516 h
Answer(s): (a) 10.15 a.m.; (b)
1516 h
