At 7 a.m., Will left Hotel A in his car and travelled towards Hotel B at 81 km/h. At the same time, Jack left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Jack reached Hotel C at 9.20 a.m., Will was 16 km away from Hotel B.
- What was the distance from Hotel A to Hotel B?
- If the distance between Hotel B and Hotel C was 380 km, what was Jack's speed?
(a)
From 7 a.m. to 9.20. 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 A to Hotel B
= 81 x 2
13 + 16
= 81 x
73 + 16
= 189 + 16
= 205 km
(b)
Distance travelled by Jack
= 380 - 205
= 175 km
Jack's speed
= 175 ÷ 2
13 = 175 ÷
73 = 175 x
37 = 75 km/h
Answer(s): (a) 205 km; (b) 75 km/h