At 7 a.m., Japheth left Hotel J in his car and travelled towards Hotel K at 84 km/h. At the same time, Elijah left Hotel J in his car and travelled in the opposite direction towards Hotel L. When Elijah reached Hotel L at 9.15 a.m., Japheth was 14 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 Elijah's speed?
(a)
From 7 a.m. to 9.15. am = 2 h 15 min
60 min = 1 h
1 min =
160 h
15 min =
1560 =
14 h
2 h 15 min = 2
14 h
Distance from Hotel J to Hotel K
= 84 x 2
14 + 14
= 84 x
94 + 14
= 189 + 14
= 203 km
(b)
Distance travelled by Elijah
= 410 - 203
= 207 km
Elijah's speed
= 207 ÷ 2
14 = 207 ÷
94 = 207 x
49 = 92 km/h
Answer(s): (a) 203 km; (b) 92 km/h