City F and City G are 384 km apart. At 2.48 p.m., Cole is travelling at a uniform speed left City F for City G while Fabian set off from City G to City F along the same road at a uniform speed, which was 12 km/h slower than that of Cole. The two met at 4.48 p.m.

1. Find the speed of Cole.
2. If Fabian 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 Fabian to travel from 2.48 p.m. to 4.48 p.m. = 2 h

Average speed of Cole and Fabian
= 384 ÷ 2
= 192 km/h

Cole's speed
= (192 + 12) ÷ 2
= 204 ÷ 2 
= 102 km/h

(b)
Fabian's speed
= 102 - 12
= 90 km/h

Distance that Fabian travelled in 2 h
= 2 x 90
= 180 km

Remaining distance that Fabian needed to travel
= 384 - 180
= 204 km

Time that Fabian needed to reach his destination after the two met
= 204 ÷ 90
= 2²⁴₉₀
= 2⁴₁₅ h

Answer(s): (a) 102 km/h; (b) 2⁴₁₅ h