At 8 a.m., Warren left Hotel Z in his car and travelled towards Hotel A at 72 km/h. At the same time, Tom left Hotel Z in his car and travelled in the opposite direction towards Hotel B. When Tom reached Hotel B at 10.50 a.m., Warren was 13 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 370 km, what was Tom's speed?
(a)
From 8 a.m. to 10.50. am = 2 h 50 min
60 min = 1 h
1 min =
160 h
50 min =
5060 =
56 h
2 h 50 min = 2
56 h
Distance from Hotel Z to Hotel A
= 72 x 2
56 + 13
= 72 x
176 + 13
= 204 + 13
= 217 km
(b)
Distance travelled by Tom
= 370 - 217
= 153 km
Tom's speed
= 153 ÷ 2
56 = 153 ÷
176 = 153 x
617 = 54 km/h
Answer(s): (a) 217 km; (b) 54 km/h