City A and City B are 332 km apart. At 6.56 p.m., Nick is travelling at a uniform speed left City A for City B while Albert set off from City B to City A along the same road at a uniform speed, which was 6 km/h slower than that of Nick. The two met at 8.56 p.m.

1. Find the speed of Nick.
2. If Albert 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 Nick and Albert to travel from 6.56 p.m. to 8.56 p.m. = 2 h

Average speed of Nick and Albert
= 332 ÷ 2
= 166 km/h

Nick's speed
= (166 + 6) ÷ 2
= 172 ÷ 2 
= 86 km/h

(b)
Albert's speed
= 86 - 6
= 80 km/h

Distance that Albert travelled in 2 h
= 2 x 80
= 160 km

Remaining distance that Albert needed to travel
= 332 - 160
= 172 km

Time that Albert needed to reach his destination after the two met
= 172 ÷ 80
= 2¹²₈₀
= 2³₂₀ h

Answer(s): (a) 86 km/h; (b) 2³₂₀ h