City K and City L are 484 km apart. At 6.29 p.m., Zane is travelling at a uniform speed left City K for City L while Tommy set off from City L to City K along the same road at a uniform speed, which was 11 km/h slower than that of Zane. The two met at 10.29 p.m.

1. Find the speed of Zane.
2. If Tommy 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 Zane and Tommy to travel from 6.29 p.m. to 10.29 p.m. = 4 h

Average speed of Zane and Tommy
= 484 ÷ 4
= 121 km/h

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

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

Distance that Tommy travelled in 4 h
= 4 x 55
= 220 km

Remaining distance that Tommy needed to travel
= 484 - 220
= 264 km

Time that Tommy needed to reach his destination after the two met
= 264 ÷ 55
= 4⁴⁴₅₅
= 4⁴₅ h

Answer(s): (a) 66 km/h; (b) 4⁴₅ h