At 8 a.m., Tommy left Hotel Y in his car and travelled towards Hotel Z at 84 km/h. At the same time, Justin left Hotel Y in his car and travelled in the opposite direction towards Hotel A. When Justin reached Hotel A at 10.15 a.m., Tommy was 20 km away from Hotel Z.
- What was the distance from Hotel Y to Hotel Z?
- If the distance between Hotel Z and Hotel A was 380 km, what was Justin's speed?
(a)
From 8 a.m. to 10.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel Y to Hotel Z
= 84 x 2
14 + 20
= 84 x
94 + 20
= 189 + 20
= 209 km
(b)
Distance travelled by Justin
= 380 - 209
= 171 km
Justin's speed
= 171 ÷ 2
14 = 171 ÷
94 = 171 x
49 = 76 km/h
Answer(s): (a) 209 km; (b) 76 km/h