City Q and City R is 280 km apart. Neave left City Q for City R at 7.00 a.m. travelling at an average speed of 70 km/h. Ryan left City Q later than Neave and caught up with him at 9.00 a.m. Ryan was travelling at a speed of 80 km/h.

1. At what time did Ryan leave City Q?
2. How much later did Neave arrive in City R than Ryan? Express your answer in h as a fraction or mixed number.

(a)
From 7.00 a.m. to 9.00 a.m. = 2 h

Distance that Neave covered when Ryan caught up with Neave
= 2 x 70
= 140 km

Time that Ryan took to travel 140 km
= 140 ÷ 80
= 1³₄ h

1 h = 60 min
³₄ h = ³₄ x 60 = 45 min
1³₄ h = 1 h 45 min

Time that Ryan left City Q:
1 h 45 min before 9.00 a.m. = 7.15 a.m.

(b)
Remaining distance that they had to cover to reach City R
= 280 - 140
= 140 km

Duration that Ryan had to travel before reaching City R
= 140 ÷ 80
= 1³₄ h

Duration that Neave had to travel before reaching City R
= 140 ÷ 70
= 2 h

Duration that Neave took to arrive later than Ryan in City R
= 2 - 1³₄
= ¹₄ h

Answer(s): (a) 7.15 a.m.; (b) ¹₄ h