At 7 a.m., Vincent left Hotel H in his car and travelled towards Hotel J at 78 km/h. At the same time, Eric left Hotel H in his car and travelled in the opposite direction towards Hotel K. When Eric reached Hotel K at 9.10 a.m., Vincent was 19 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 370 km, what was Eric's speed?
(a)
From 7 a.m. to 9.10. am = 2 h 10 min
60 min = 1 h
1 min =
160 h
10 min =
1060 =
16 h
2 h 10 min = 2
16 h
Distance from Hotel H to Hotel J
= 78 x 2
16 + 19
= 78 x
136 + 19
= 169 + 19
= 188 km
(b)
Distance travelled by Eric
= 370 - 188
= 182 km
Eric's speed
= 182 ÷ 2
16 = 182 ÷
136 = 182 x
613 = 84 km/h
Answer(s): (a) 188 km; (b) 84 km/h