At 5 a.m., Sean left Hotel Z in his car and travelled towards Hotel A at 75 km/h. At the same time, John left Hotel Z in his car and travelled in the opposite direction towards Hotel B. When John reached Hotel B at 7.20 a.m., Sean was 10 km away from Hotel A.
- What was the distance from Hotel Z to Hotel A?
- If the distance between Hotel A and Hotel B was 360 km, what was John's speed?
(a)
From 5 a.m. to 7.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel Z to Hotel A
= 75 x 2
13 + 10
= 75 x
73 + 10
= 175 + 10
= 185 km
(b)
Distance travelled by John
= 360 - 185
= 175 km
John's speed
= 175 ÷ 2
13 = 175 ÷
73 = 175 x
37 = 75 km/h
Answer(s): (a) 185 km; (b) 75 km/h