At 6 a.m., Bryan left Hotel J in his car and travelled towards Hotel K at 78 km/h. At the same time, Ahmad left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Ahmad reached Hotel L at 8.30 a.m., Bryan was 20 km away from Hotel K.
- What was the distance from Hotel J to Hotel K?
- If the distance between Hotel K and Hotel L was 410 km, what was Ahmad's speed?
(a)
From 6 a.m. to 8.30. am = 2 h 30 min
60 min = 1 h
1 min =
160 h
30 min =
3060 =
12 h
2 h 30 min = 2
12 h
Distance from Hotel J to Hotel K
= 78 x 2
12 + 20
= 78 x
52 + 20
= 195 + 20
= 215 km
(b)
Distance travelled by Ahmad
= 410 - 215
= 195 km
Ahmad's speed
= 195 ÷ 2
12 = 195 ÷
52 = 195 x
25 = 78 km/h
Answer(s): (a) 215 km; (b) 78 km/h