At 5.00 p.m., a pink car and a purple car left the office and travelled at average speeds in opposite directions round a 25-km route. The pink car took 15 minutes to complete each round while the purple car took 30 minutes.
- Find the speed of the pink car.
- Find the speed of the purple car.
- If the two cars travelled without any interval of rest, at what time would the two cars next meet again at the office?
(a)
60 min = 1 h
15 min =
1560 =
14 h
30 min =
3060 =
12 h
Speed of the pink car
= 25 ÷
14= 25 x
41= 100 km/h
(b)
Speed of the purple car
= 25 ÷
12= 25 x
21= 50 km/h
(c)
LCM of 15 and 30 = 30
30 min after 5 p.m. = 5.30 p.m.
Time that the two cars would meet again at the office = 5.30 p.m.
Answer(s): (a) 100 km/h; (b) 50 km/h; (c) 5.30 p.m.