City U and City V are 370 km apart. At 6.54 p.m., Ryan is travelling at a uniform speed left City U for City V while Zeph set off from City V to City U along the same road at a uniform speed, which was 5 km/h slower than that of Ryan. The two met at 8.54 p.m.

1. Find the speed of Ryan.
2. If Zeph 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 Ryan and Zeph to travel from 6.54 p.m. to 8.54 p.m. = 2 h

Average speed of Ryan and Zeph
= 370 ÷ 2
= 185 km/h

Ryan's speed
= (185 + 5) ÷ 2
= 190 ÷ 2 
= 95 km/h

(b)
Zeph's speed
= 95 - 5
= 90 km/h

Distance that Zeph travelled in 2 h
= 2 x 90
= 180 km

Remaining distance that Zeph needed to travel
= 370 - 180
= 190 km

Time that Zeph needed to reach his destination after the two met
= 190 ÷ 90
= 2¹⁰₉₀
= 2¹₉ h

Answer(s): (a) 95 km/h; (b) 2¹₉ h