City X and City Y are 378 km apart. At 5.56 p.m., Zane is travelling at a uniform speed left City X for City Y while Henry set off from City Y to City X along the same road at a uniform speed, which was 7 km/h slower than that of Zane. The two met at 7.56 p.m.

1. Find the speed of Zane.
2. If Henry 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 Henry to travel from 5.56 p.m. to 7.56 p.m. = 2 h

Average speed of Zane and Henry
= 378 ÷ 2
= 189 km/h

Zane's speed
= (189 + 7) ÷ 2
= 196 ÷ 2 
= 98 km/h

(b)
Henry's speed
= 98 - 7
= 91 km/h

Distance that Henry travelled in 2 h
= 2 x 91
= 182 km

Remaining distance that Henry needed to travel
= 378 - 182
= 196 km

Time that Henry needed to reach his destination after the two met
= 196 ÷ 91
= 2¹⁴₉₁
= 2²₁₃ h

Answer(s): (a) 98 km/h; (b) 2²₁₃ h