City F and City G is 462 km apart. Warren left City F for City G at 11.00 a.m. travelling at an average speed of 77 km/h. Jeremy left City F later than Warren and caught up with him at 3.00 p.m. Jeremy was travelling at a speed of 112 km/h.

1. At what time did Jeremy leave City F?
2. How much later did Warren arrive in City G than Jeremy? Express your answer in h as a fraction or mixed number.

(a)
From 11.00 a.m. to 3.00 p.m. = 4 h

Distance that Warren covered when Jeremy caught up with Warren
= 4 x 77
= 308 km

Time that Jeremy took to travel 308 km
= 308 ÷ 112
= 2³₄ h

1 h = 60 min
³₄ h = ³₄ x 60 = 45 min
2³₄ h = 2 h 45 min

Time that Jeremy left City F:
2 h 45 min before 3.00 p.m. = 12.15 p.m.

(b)
Remaining distance that they had to cover to reach City G
= 462 - 308
= 154 km

Duration that Jeremy had to travel before reaching City G
= 154 ÷ 112
= 1³₈ h

Duration that Warren had to travel before reaching City G
= 154 ÷ 77
= 2 h

Duration that Warren took to arrive later than Jeremy in City G
= 2 - 1³₈
= ⁵₈ h

Answer(s): (a) 12.15 p.m.; (b) ⁵₈ h