City F and City G are 555 km apart. At 2.42 p.m., Oliver is travelling at a uniform speed left City F for City G while Asher set off from City G to City F along the same road at a uniform speed, which was 5 km/h slower than that of Oliver. The two met at 5.42 p.m.

1. Find the speed of Oliver.
2. If Asher 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 Oliver and Asher to travel from 2.42 p.m. to 5.42 p.m. = 3 h

Average speed of Oliver and Asher
= 555 ÷ 3
= 185 km/h

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

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

Distance that Asher travelled in 3 h
= 3 x 90
= 270 km

Remaining distance that Asher needed to travel
= 555 - 270
= 285 km

Time that Asher needed to reach his destination after the two met
= 285 ÷ 90
= 3¹⁵₉₀
= 3¹₆ h

Answer(s): (a) 95 km/h; (b) 3¹₆ h