At 6 a.m., Ivan left Hotel Y in his car and travelled towards Hotel Z at 72 km/h. At the same time, Ethan left Hotel Y in his car and travelled in the opposite direction towards Hotel A. When Ethan reached Hotel A at 8.10 a.m., Ivan was 12 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 350 km, what was Ethan's speed?
(a)
From 6 a.m. to 8.10. am = 2 h 10 min
60 min = 1 h
1 min =
160 h
10 min =
1060 =
16 h
2 h 10 min = 2
16 h
Distance from Hotel Y to Hotel Z
= 72 x 2
16 + 12
= 72 x
136 + 12
= 156 + 12
= 168 km
(b)
Distance travelled by Ethan
= 350 - 168
= 182 km
Ethan's speed
= 182 ÷ 2
16 = 182 ÷
136 = 182 x
613 = 84 km/h
Answer(s): (a) 168 km; (b) 84 km/h