Question 921300: Two vehicles, separated by a distance of 450 m , travel in opposite directions toward a traffic light. When will the vehicles pass one another if Vehicle A is travelling 35 km/h and is 300 m (E) of the traffic light while vehicle B is travelling 40 km/h. When will each vehicle pass the traffic light, assuming the light remains green the entire time?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Two vehicles, separated by a distance of 450 m , travel in opposite directions toward a traffic light.
When will the vehicles pass one another if Vehicle A is travelling 35 km/h and is 300 m (E) of the traffic light while vehicle B is travelling 40 km/h.
:
since we are dealing in km/hr, change 450 m to .45 km; and 300 m to .3 km
:
When the two vehicles meet they will have traveled a total of 450m
let t = travel time of both vehicles when they meet
35t + 40t = .45
75t = .45
t = .45/75
t = .006 hrs, .006(3600) = 21.6 seconds
:
When will each vehicle pass the traffic light, assuming the light remains green the entire time?
time = dist/speed
Find when vehicle A reaches traffic light (change hrs to sec)
.3/35 = .00857 * 3600 = 30.86 sec
Find when vehicle B reaches the traffic light
(.45-.3)/40 = .00375 * 3600 = 13.5 sec
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