City V and City W are 384 km apart. At 3.22 p.m., Cole is travelling at a uniform speed left City V for City W while Vaidev set off from City W to City V along the same road at a uniform speed, which was 12 km/h slower than that of Cole. The two met at 5.22 p.m.
- Find the speed of Cole.
- If Vaidev 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 Vaidev to travel from 3.22 p.m. to 5.22 p.m. = 2 h
Average speed of Cole and Vaidev
= 384 ÷ 2
= 192 km/h
Cole's speed
= (192 + 12) ÷ 2
= 204 ÷ 2
= 102 km/h
(b)
Vaidev's speed
= 102 - 12
= 90 km/h
Distance that Vaidev travelled in 2 h
= 2 x 90
= 180 km
Remaining distance that Vaidev needed to travel
= 384 - 180
= 204 km
Time that Vaidev needed to reach his destination after the two met
= 204 ÷ 90
= 2
2490 = 2
415 h
Answer(s): (a) 102 km/h; (b) 2
415 h