City N and City P are 495 km apart. At 5.54 p.m., Tim is travelling at a uniform speed left City N for City P while Ian set off from City P to City N along the same road at a uniform speed, which was 11 km/h slower than that of Tim. The two met at 8.54 p.m.

1. Find the speed of Tim.
2. If Ian 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 Tim and Ian to travel from 5.54 p.m. to 8.54 p.m. = 3 h

Average speed of Tim and Ian
= 495 ÷ 3
= 165 km/h

Tim's speed
= (165 + 11) ÷ 2
= 176 ÷ 2 
= 88 km/h

(b)
Ian's speed
= 88 - 11
= 77 km/h

Distance that Ian travelled in 3 h
= 3 x 77
= 231 km

Remaining distance that Ian needed to travel
= 495 - 231
= 264 km

Time that Ian needed to reach his destination after the two met
= 264 ÷ 77
= 3³³₇₇
= 3³₇ h

Answer(s): (a) 88 km/h; (b) 3³₇ h