City C and City D are 408 km apart. At 6.33 p.m., Nick is travelling at a uniform speed left City C for City D while Daniel set off from City D to City C along the same road at a uniform speed, which was 8 km/h slower than that of Nick. The two met at 9.33 p.m.
- Find the speed of Nick.
- If Daniel 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 Nick and Daniel to travel from 6.33 p.m. to 9.33 p.m. = 3 h
Average speed of Nick and Daniel
= 408 ÷ 3
= 136 km/h
Nick's speed
= (136 + 8) ÷ 2
= 144 ÷ 2
= 72 km/h
(b)
Daniel's speed
= 72 - 8
= 64 km/h
Distance that Daniel travelled in 3 h
= 3 x 64
= 192 km
Remaining distance that Daniel needed to travel
= 408 - 192
= 216 km
Time that Daniel needed to reach his destination after the two met
= 216 ÷ 64
= 3
2464 = 3
38 h
Answer(s): (a) 72 km/h; (b) 3
38 h