City L and City M are 585 km apart. At 6.30 p.m., Neave is travelling at a uniform speed left City L for City M while Rael set off from City M to City L along the same road at a uniform speed, which was 7 km/h slower than that of Neave. The two met at 11.30 p.m.

1. Find the speed of Neave.
2. If Rael 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 Neave and Rael to travel from 6.30 p.m. to 11.30 p.m. = 5 h

Average speed of Neave and Rael
= 585 ÷ 5
= 117 km/h

Neave's speed
= (117 + 7) ÷ 2
= 124 ÷ 2 
= 62 km/h

(b)
Rael's speed
= 62 - 7
= 55 km/h

Distance that Rael travelled in 5 h
= 5 x 55
= 275 km

Remaining distance that Rael needed to travel
= 585 - 275
= 310 km

Time that Rael needed to reach his destination after the two met
= 310 ÷ 55
= 5³⁵₅₅
= 5⁷₁₁ h

Answer(s): (a) 62 km/h; (b) 5⁷₁₁ h