City X and City Y are 528 km apart. At 1.41 p.m., George is travelling at a uniform speed left City X for City Y while Simon set off from City Y to City X along the same road at a uniform speed, which was 8 km/h slower than that of George. The two met at 4.41 p.m.

1. Find the speed of George.
2. If Simon 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 George and Simon to travel from 1.41 p.m. to 4.41 p.m. = 3 h

Average speed of George and Simon
= 528 ÷ 3
= 176 km/h

George's speed
= (176 + 8) ÷ 2
= 184 ÷ 2 
= 92 km/h

(b)
Simon's speed
= 92 - 8
= 84 km/h

Distance that Simon travelled in 3 h
= 3 x 84
= 252 km

Remaining distance that Simon needed to travel
= 528 - 252
= 276 km

Time that Simon needed to reach his destination after the two met
= 276 ÷ 84
= 3²⁴₈₄
= 3²₇ h

Answer(s): (a) 92 km/h; (b) 3²₇ h