City S and City T is 396 km apart. Charlie left City S for City T at 10.00 a.m. travelling at an average speed of 66 km/h. Lee left City S later than Charlie and caught up with him at 12.00 p.m. Lee was travelling at a speed of 99 km/h.
- At what time did Lee leave City S?
- How much later did Charlie arrive in City T than Lee? 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 Charlie covered when Lee caught up with Charlie
= 2 x 66
= 132 km
Time that Lee took to travel 132 km
= 132 ÷ 99
= 1
13 h
1 h = 60 min
13 h =
13 x 60 = 20 min
1
13 h = 1 h 20 min
Time that Lee left City S:
1 h 20 min before 12.00 p.m. = 10.40 a.m.
(b)
Remaining distance that they had to cover to reach City T
= 396 - 132
= 264 km
Duration that Lee had to travel before reaching City T
= 264 ÷ 99
= 2
23 h
Duration that Charlie had to travel before reaching City T
= 264 ÷ 66
= 4 h
Duration that Charlie took to arrive later than Lee in City T
= 4 - 2
23= 1
13 h
Answer(s): (a) 10.40 a.m.; (b) 1
13 h