City W and City X are 495 km apart. At 2.34 p.m., Tom is travelling at a uniform speed left City W for City X while Zane set off from City X to City W along the same road at a uniform speed, which was 5 km/h slower than that of Tom. The two met at 5.34 p.m.

1. Find the speed of Tom.
2. If Zane 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 Tom and Zane to travel from 2.34 p.m. to 5.34 p.m. = 3 h

Average speed of Tom and Zane
= 495 ÷ 3
= 165 km/h

Tom's speed
= (165 + 5) ÷ 2
= 170 ÷ 2 
= 85 km/h

(b)
Zane's speed
= 85 - 5
= 80 km/h

Distance that Zane travelled in 3 h
= 3 x 80
= 240 km

Remaining distance that Zane needed to travel
= 495 - 240
= 255 km

Time that Zane needed to reach his destination after the two met
= 255 ÷ 80
= 3¹⁵₈₀
= 3³₁₆ h

Answer(s): (a) 85 km/h; (b) 3³₁₆ h