At 9 a.m., Bryan left Hotel P in his car and travelled towards Hotel Q at 72 km/h. At the same time, Archie left Hotel P in his car and travelled in the opposite direction towards Hotel R. When Archie reached Hotel R at 11.45 a.m., Bryan was 14 km away from Hotel Q.
- What was the distance from Hotel P to Hotel Q?
- If the distance between Hotel Q and Hotel R was 410 km, what was Archie's speed?
(a)
From 9 a.m. to 11.45. am = 2 h 45 min
60 min = 1 h
1 min =
160 h
45 min =
4560 =
34 h
2 h 45 min = 2
34 h
Distance from Hotel P to Hotel Q
= 72 x 2
34 + 14
= 72 x
114 + 14
= 198 + 14
= 212 km
(b)
Distance travelled by Archie
= 410 - 212
= 198 km
Archie's speed
= 198 ÷ 2
34 = 198 ÷
114 = 198 x
411 = 72 km/h
Answer(s): (a) 212 km; (b) 72 km/h