SOLUTION: Angelo travels from Town A to Town B at an average speed of 4km/h and from Town B to Town A at an average speed of 6km/h. If he takes 45 minutes to complete the entire journey, fin

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Question 1131584: Angelo travels from Town A to Town B at an average speed of 4km/h and from Town B to Town A at an average speed of 6km/h. If he takes 45 minutes to complete the entire journey, find his total distance traveled.
Found 3 solutions by josgarithmetic, ikleyn, Alan3354:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
d, distance between A and B
A to B, 4 km/h
B to A, 6 km/h

cross%28d%2F4-d%2F6=3%2F4%29
d%2F4%2Bd%2F6=3%2F4
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12%28d%2F4%2Bd%2F6%29=12%283%2F4%29
3d%2B2d=9
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.
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Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
Angelo travels from Town A to Town B at an average speed of 4km/h and from Town B to Town A at an average speed of 6km/h.
If he takes 45 minutes to complete the entire journey, find his total distance traveled.
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         Since the solution by @josgarithmetic is incorrect,  I came to bring the correct one,  which is placed below. 


d, distance between A and B


Travel from A to B  at  4 km/h  ------>  time = d%2F4  hours.

Travel from B to A  at  6 km/h  ------>  time = d%2F6  hours.


d%2F4 + d%2F6 = 3%2F4  of an hour      <<<---=== the "time" equation


Multiply by 12 both sides.


3d + 2d = 9  ====>  5d = 9  ====>  d = 9%2F5 kilometers.     ANSWER


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Angelo travels from Town A to Town B at an average speed of 4km/h and from Town B to Town A at an average speed of 6km/h. If he takes 45 minutes to complete the entire journey, find his total distance traveled.
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Avg speed for the round trip is 2*4*6/(4+6) = 4.8 km/hr
d = r*t = 4.8 km/hr * (45/60) hours
d = 3.6 km