At 6 a.m., Peter left Hotel H in his car and travelled towards Hotel J at 96 km/h. At the same time, Ivan left Hotel H in his car and travelled in the opposite direction towards Hotel K. When Ivan reached Hotel K at 8.20 a.m., Peter was 20 km away from Hotel J.
- What was the distance from Hotel H to Hotel J?
- If the distance between Hotel J and Hotel K was 440 km, what was Ivan's speed?
(a)
From 6 a.m. to 8.20. 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 H to Hotel J
= 96 x 2
13 + 20
= 96 x
73 + 20
= 224 + 20
= 244 km
(b)
Distance travelled by Ivan
= 440 - 244
= 196 km
Ivan's speed
= 196 ÷ 2
13 = 196 ÷
73 = 196 x
37 = 84 km/h
Answer(s): (a) 244 km; (b) 84 km/h