SOLUTION: Runner A is initially 5.6 km west of a flagpole
and is running with a constant velocity of
8.4 km/h due east. Runner B is initially 4.9
km east of the flagpole and is running wi
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-> SOLUTION: Runner A is initially 5.6 km west of a flagpole
and is running with a constant velocity of
8.4 km/h due east. Runner B is initially 4.9
km east of the flagpole and is running wi
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Question 1208219: Runner A is initially 5.6 km west of a flagpole
and is running with a constant velocity of
8.4 km/h due east. Runner B is initially 4.9
km east of the flagpole and is running with a
constant velocity of 7.5 km/h due west.
How far are the runners from the flagpole
when their paths cross? Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52775) (Show Source):
You can put this solution on YOUR website! .
Runner A is initially 5.6 km west of a flagpole and is running with a constant velocity of 8.4 km/h due east.
Runner B is initially 4.9 km east of the flagpole and is running with a constant velocity of 7.5 km/h due west.
How far are the runners from the flagpole when their paths cross?
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Total distance between the starting points is 5.6 + 4.9 = 10.5 kilometers.
The approaching rate is 8.4 + 7.5 = 15.9 km/h.
Time to get the crossing point is = 0.660377358 of an hour.
The position of the crossing point is
5.6 - 8.4*0.660377358 = 0.052830193 km west from the flag pole, or 52.83 m west from the flag pole.
The numbers are approximate.
The two runners are initially 5.6+4.9 = 10.5km apart; they are running towards each other at a rate of 8.4+7.5 = 15.9km/h. The time it will take the two to meet is the time it will take the two of them to cover the full 10.5km.
distance = rate * time
time = distance / rate = 10.5/15.9 = 105/159 = 35/53 hours
After 35/53 hours, the position of runner A will be 8.4(35/53) km east of his starting point 5.6km west of the flagpole. Use a calculator to find his position is (to several decimal places) .05283km west of the flagpole.
After 35/53 hours, the position of runner B will be 7.5(35/53) km west of his starting point 4.9 km east of the flagpole. Use a calculator to find his position is (to several decimal places) .05283km west of the flagpole.
ANSWER (to several decimal places): .05283 km
Nice problem for learning if the numbers were "nice"; as it is, the problem is mostly a waste of time.
