At 7 a.m., Rael left Hotel W in his car and travelled towards Hotel X at 72 km/h. At the same time, Ben left Hotel W in his car and travelled in the opposite direction towards Hotel Y. When Ben reached Hotel Y at 9.20 a.m., Rael was 11 km away from Hotel X.
- What was the distance from Hotel W to Hotel X?
- If the distance between Hotel X and Hotel Y was 410 km, what was Ben's speed?
(a)
From 7 a.m. to 9.20. am = 2 h 20 min
60 min = 1 h
1 min =
160 h
20 min =
2060 =
13 h
2 h 20 min = 2
13 h
Distance from Hotel W to Hotel X
= 72 x 2
13 + 11
= 72 x
73 + 11
= 168 + 11
= 179 km
(b)
Distance travelled by Ben
= 410 - 179
= 231 km
Ben's speed
= 231 ÷ 2
13 = 231 ÷
73 = 231 x
37 = 99 km/h
Answer(s): (a) 179 km; (b) 99 km/h