At 7 a.m., Eric left Hotel H in his car and travelled towards Hotel J at 72 km/h. At the same time, Ahmad left Hotel H in his car and travelled in the opposite direction towards Hotel K. When Ahmad reached Hotel K at 10.30 a.m., Eric was 14 km away from Hotel J.
- What was the distance from Hotel H to Hotel J?
- If the distance between Hotel J and Hotel K was 420 km, what was Ahmad's speed?
(a)
From 7 a.m. to 10.30. am = 3 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
3 h 30 min = 3
12 h
Distance from Hotel H to Hotel J
= 72 x 3
12 + 14
= 72 x
72 + 14
= 252 + 14
= 266 km
(b)
Distance travelled by Ahmad
= 420 - 266
= 154 km
Ahmad's speed
= 154 ÷ 3
12 = 154 ÷
72 = 154 x
27 = 44 km/h
Answer(s): (a) 266 km; (b) 44 km/h