City G and City H are 363 km apart. At 2.31 p.m., Dylan is travelling at a uniform speed left City G for City H while Carl set off from City H to City G along the same road at a uniform speed, which was 11 km/h slower than that of Dylan. The two met at 5.31 p.m.

1. Find the speed of Dylan.
2. If Carl 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 Dylan and Carl to travel from 2.31 p.m. to 5.31 p.m. = 3 h

Average speed of Dylan and Carl
= 363 ÷ 3
= 121 km/h

Dylan's speed
= (121 + 11) ÷ 2
= 132 ÷ 2 
= 66 km/h

(b)
Carl's speed
= 66 - 11
= 55 km/h

Distance that Carl travelled in 3 h
= 3 x 55
= 165 km

Remaining distance that Carl needed to travel
= 363 - 165
= 198 km

Time that Carl needed to reach his destination after the two met
= 198 ÷ 55
= 3³³₅₅
= 3³₅ h

Answer(s): (a) 66 km/h; (b) 3³₅ h