City K and City L are 544 km apart. At 1.47 p.m., Flynn is travelling at a uniform speed left City K for City L while Dylan set off from City L to City K along the same road at a uniform speed, which was 8 km/h slower than that of Flynn. The two met at 5.47 p.m.

1. Find the speed of Flynn.
2. If Dylan 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 Flynn and Dylan to travel from 1.47 p.m. to 5.47 p.m. = 4 h

Average speed of Flynn and Dylan
= 544 ÷ 4
= 136 km/h

Flynn's speed
= (136 + 8) ÷ 2
= 144 ÷ 2 
= 72 km/h

(b)
Dylan's speed
= 72 - 8
= 64 km/h

Distance that Dylan travelled in 4 h
= 4 x 64
= 256 km

Remaining distance that Dylan needed to travel
= 544 - 256
= 288 km

Time that Dylan needed to reach his destination after the two met
= 288 ÷ 64
= 4³²₆₄
= 4¹₂ h

Answer(s): (a) 72 km/h; (b) 4¹₂ h