At 8.00 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 25 minutes.
- Find the speed of the pink car.
- Find the speed of the purple car.
- If the 2 cars travelled without any interval of rest, at what time would the 2 cars next meet again at the office?
(a)
60 min = 1 h
15 min =
1560 =
14 h
25 min =
2560 =
512 h
Speed of the pink car
= 25 ÷
14= 25 x
41= 100 km/h
(b)
Speed of the purple car
= 25 ÷
512= 25 x
125= 60 km/h
(c)
LCM of 15 and 25 = 75
1 hr = 60 min
75 min = 1 h 15 min
1 h and 15 min after 8 p.m. = 9.15 p.m.
Time that the two cars would meet again at the office = 9.15 p.m.
Answer(s): (a) 100 km/h; (b) 60 km/h; (c) 9.15 p.m.