City C and City D is 462 km apart. Jack left City C for City D at 8.00 a.m. travelling at an average speed of 77 km/h. Eric left City C later than Jack and caught up with him at 11.00 a.m. Eric was travelling at a speed of 99 km/h.
- At what time did Eric leave City C?
- How much later did Jack arrive in City D than Eric? Express your answer in h as a fraction or mixed number.
(a)
From 8.00 a.m. to 11.00 a.m. = 3 h
Distance that Jack covered when Eric caught up with Jack
= 3 x 77
= 231 km
Time that Eric took to travel 231 km
= 231 ÷ 99
= 2
13 h
1 h = 60 min
13 h =
13 x 60 = 20 min
2
13 h = 2 h 20 min
Time that Eric left City C:
2 h 20 min before 11.00 a.m. = 8.40 a.m.
(b)
Remaining distance that they had to cover to reach City D
= 462 - 231
= 231 km
Duration that Eric had to travel before reaching City D
= 231 ÷ 99
= 2
13 h
Duration that Jack had to travel before reaching City D
= 231 ÷ 77
= 3 h
Duration that Jack took to arrive later than Eric in City D
= 3 - 2
13=
23 h
Answer(s): (a) 8.40 a.m.; (b)
23 h