City N and City P are 432 km apart. At 3.44 p.m., Vaidev is travelling at a uniform speed left City N for City P while Tommy set off from City P to City N along the same road at a uniform speed, which was 12 km/h slower than that of Vaidev. The two met at 5.44 p.m.

1. Find the speed of Vaidev.
2. If Tommy 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 Vaidev and Tommy to travel from 3.44 p.m. to 5.44 p.m. = 2 h

Average speed of Vaidev and Tommy
= 432 ÷ 2
= 216 km/h

Vaidev's speed
= (216 + 12) ÷ 2
= 228 ÷ 2 
= 114 km/h

(b)
Tommy's speed
= 114 - 12
= 102 km/h

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

Remaining distance that Tommy needed to travel
= 432 - 204
= 228 km

Time that Tommy needed to reach his destination after the two met
= 228 ÷ 102
= 2²⁴₁₀₂
= 2⁴₁₇ h

Answer(s): (a) 114 km/h; (b) 2⁴₁₇ h