City F and City G are 348 km apart. At 6.30 p.m., Cody is travelling at a uniform speed left City F for City G while Daniel set off from City G to City F along the same road at a uniform speed, which was 6 km/h slower than that of Cody. The two met at 8.30 p.m.
- Find the speed of Cody.
- 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 Cody and Daniel to travel from 6.30 p.m. to 8.30 p.m. = 2 h
Average speed of Cody and Daniel
= 348 ÷ 2
= 174 km/h
Cody's speed
= (174 + 6) ÷ 2
= 180 ÷ 2
= 90 km/h
(b)
Daniel's speed
= 90 - 6
= 84 km/h
Distance that Daniel travelled in 2 h
= 2 x 84
= 168 km
Remaining distance that Daniel needed to travel
= 348 - 168
= 180 km
Time that Daniel needed to reach his destination after the two met
= 180 ÷ 84
= 2
1284 = 2
17 h
Answer(s): (a) 90 km/h; (b) 2
17 h