City N and City P are 352 km apart. At 5.49 p.m., Caden is travelling at a uniform speed left City N for City P while Dylan set off from City P to City N along the same road at a uniform speed, which was 8 km/h slower than that of Caden. The two met at 7.49 p.m.
- Find the speed of Caden.
- If Dylan continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express your answer in mixed number.
(a)
Time taken for Caden and Dylan to travel from 5.49 p.m. to 7.49 p.m. = 2 h
Average speed of Caden and Dylan
= 352 ÷ 2
= 176 km/h
Caden's speed
= (176 + 8) ÷ 2
= 184 ÷ 2
= 92 km/h
(b)
Dylan's speed
= 92 - 8
= 84 km/h
Distance that Dylan travelled in 2 h
= 2 x 84
= 168 km
Remaining distance that Dylan needed to travel
= 352 - 168
= 184 km
Time that Dylan needed to reach his destination after the two met
= 184 ÷ 84
= 2
1684 = 2
421 h
Answer(s): (a) 92 km/h; (b) 2
421 h