City Y and City Z are 426 km apart. At 2.35 p.m., Warren is travelling at a uniform speed left City Y for City Z while Julian set off from City Z to City Y along the same road at a uniform speed, which was 9 km/h slower than that of Warren. The two met at 4.35 p.m.

1. Find the speed of Warren.
2. If Julian 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 Warren and Julian to travel from 2.35 p.m. to 4.35 p.m. = 2 h

Average speed of Warren and Julian
= 426 ÷ 2
= 213 km/h

Warren's speed
= (213 + 9) ÷ 2
= 222 ÷ 2 
= 111 km/h

(b)
Julian's speed
= 111 - 9
= 102 km/h

Distance that Julian travelled in 2 h
= 2 x 102
= 204 km

Remaining distance that Julian needed to travel
= 426 - 204
= 222 km

Time that Julian needed to reach his destination after the two met
= 222 ÷ 102
= 2¹⁸₁₀₂
= 2³₁₇ h

Answer(s): (a) 111 km/h; (b) 2³₁₇ h