At 7 a.m., Billy left Hotel X in his car and travelled towards Hotel Y at 76 km/h. At the same time, Ian left Hotel X in his car and travelled in the opposite direction towards Hotel Z. When Ian reached Hotel Z at 10.30 a.m., Billy was 10 km away from Hotel Y.
- What was the distance from Hotel X to Hotel Y?
- If the distance between Hotel Y and Hotel Z was 430 km, what was Ian's speed?
(a)
From 7 a.m. to 10.30. am = 3 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
3 h 30 min = 3
12 h
Distance from Hotel X to Hotel Y
= 76 x 3
12 + 10
= 76 x
72 + 10
= 266 + 10
= 276 km
(b)
Distance travelled by Ian
= 430 - 276
= 154 km
Ian's speed
= 154 ÷ 3
12 = 154 ÷
72 = 154 x
27 = 44 km/h
Answer(s): (a) 276 km; (b) 44 km/h