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Perry caught up with Katie after travelling 270 km.

Since they both started from Sunville, Katie also travelled 270 km.

Time taken by Katie to travel 270 km = 270 ÷ 60 = 4.5 hours

Perry started 2 hours after Katie.

Time taken by Perry to travel 270 km = 4.5 – 2 = 2.5 hours

(a) Perry’s speed = 270 km ÷ 2.5 hours = 108 km/h

9.00 am + 4 h 30 min = 1.30 pm

3.00 pm – 1.30 pm = 1 h 30 min

108 km/h – 60 km/h = 48 km/h

Every hour, Perry travels 48 km more than Katie.

48 km/h × 1.5 h = 72 km

(b) At 3 pm, Katie and Perry would be 72 km apart.

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