Question 628203: Two trucks left two towns A and B at the same time, and each was headed to the other town at a constant speed, passing each other at point C. The truck from town B completed the journey from C to A in 20 minutes. The truck from A completed the journey from A to C in 45 minutes, while maintaining its steady speed of 45 km/h. Find the speed of the truck from B in km/h, assuming that it maintains a constant speed throughout.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Two trucks left two towns A and B at the same time, and each was headed to
the other town at a constant speed, passing each other at point C.
The truck from town B completed the journey from C to A in 20 minutes.
The truck from A completed the journey from A to C in 45 minutes, while
maintaining its steady speed of 45 km/h.
Find the speed of the truck from B in km/h, assuming that it maintains a constant speed throughout.
:
A <--------<20min<--------C----------------< B; truck from B
A >-------->45min>-------C-----------------> B: truck from A (at 45km/h)
:
Change 20 min to .33 hrs
Change 45 min to .75 hrs
:
Since truck from A completed the distance from A to C in 45 min at 45 km/h,
dist from A to C: .75(45) = 33.75 km
:
Find the speed of truck from B, which traveled from C to A in 20 min:
S =  = 101.25 km/hr
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