At 5 a.m., Sam left Hotel N in his car and travelled towards Hotel P at 80 km/h. At the same time, Ben left Hotel N in his car and travelled in the opposite direction towards Hotel Q. When Ben reached Hotel Q at 7.45 a.m., Sam was 15 km away from Hotel P.
- What was the distance from Hotel N to Hotel P?
- If the distance between Hotel P and Hotel Q was 400 km, what was Ben's speed?
(a)
From 5 a.m. to 7.45. 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 N to Hotel P
= 80 x 2
34 + 15
= 80 x
114 + 15
= 220 + 15
= 235 km
(b)
Distance travelled by Ben
= 400 - 235
= 165 km
Ben's speed
= 165 ÷ 2
34 = 165 ÷
114 = 165 x
411 = 60 km/h
Answer(s): (a) 235 km; (b) 60 km/h