City E and City F are 372 km apart. At 6.19 p.m., Perry is travelling at a uniform speed left City E for City F while Japheth set off from City F to City E along the same road at a uniform speed, which was 10 km/h slower than that of Perry. The two met at 9.19 p.m.

1. Find the speed of Perry.
2. If Japheth 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 Perry and Japheth to travel from 6.19 p.m. to 9.19 p.m. = 3 h

Average speed of Perry and Japheth
= 372 ÷ 3
= 124 km/h

Perry's speed
= (124 + 10) ÷ 2
= 134 ÷ 2 
= 67 km/h

(b)
Japheth's speed
= 67 - 10
= 57 km/h

Distance that Japheth travelled in 3 h
= 3 x 57
= 171 km

Remaining distance that Japheth needed to travel
= 372 - 171
= 201 km

Time that Japheth needed to reach his destination after the two met
= 201 ÷ 57
= 3³⁰₅₇
= 3¹⁰₁₉ h

Answer(s): (a) 67 km/h; (b) 3¹⁰₁₉ h