City L and City M is 432 km apart. Jenson left City L for City M at 7.00 a.m. travelling at an average speed of 72 km/h. Harry left City L later than Jenson and caught up with him at 10.00 a.m. Harry was travelling at a speed of 96 km/h.
- At what time did Harry leave City L?
- How much later did Jenson arrive in City M than Harry? Express your answer in h as a fraction or mixed number.
(a)
From 7.00 a.m. to 10.00 a.m. = 3 h
Distance that Jenson covered when Harry caught up with Jenson
= 3 x 72
= 216 km
Time that Harry took to travel 216 km
= 216 ÷ 96
= 2
14 h
1 h = 60 min
14 h =
14 x 60 = 15 min
2
14 h = 2 h 15 min
Time that Harry left City L:
2 h 15 min before 10.00 a.m. = 7.45 a.m.
(b)
Remaining distance that they had to cover to reach City M
= 432 - 216
= 216 km
Duration that Harry had to travel before reaching City M
= 216 ÷ 96
= 2
14 h
Duration that Jenson had to travel before reaching City M
= 216 ÷ 72
= 3 h
Duration that Jenson took to arrive later than Harry in City M
= 3 - 2
14=
34 h
Answer(s): (a) 7.45 a.m.; (b)
34 h