City T and City U are 396 km apart. At 4.32 p.m., Cole is travelling at a uniform speed left City T for City U while Japheth set off from City U to City T along the same road at a uniform speed, which was 6 km/h slower than that of Cole. The two met at 6.32 p.m.
- Find the speed of Cole.
- If Japheth 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 Cole and Japheth to travel from 4.32 p.m. to 6.32 p.m. = 2 h
Average speed of Cole and Japheth
= 396 ÷ 2
= 198 km/h
Cole's speed
= (198 + 6) ÷ 2
= 204 ÷ 2
= 102 km/h
(b)
Japheth's speed
= 102 - 6
= 96 km/h
Distance that Japheth travelled in 2 h
= 2 x 96
= 192 km
Remaining distance that Japheth needed to travel
= 396 - 192
= 204 km
Time that Japheth needed to reach his destination after the two met
= 204 ÷ 96
= 2
1296 = 2
18 h
Answer(s): (a) 102 km/h; (b) 2
18 h