ganeshie8
  • ganeshie8
A column of soldiers, marching at 120 paces per minute, keep in step with the beat of a drummer at the head of the column. It is observed that the soldiers in the rear end of the column are striding forward with the left foot when the drummer is advancing with the right foot. What is the approximate length of the column?
Mathematics
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SOLVED
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chestercat
  • chestercat
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baru
  • baru
i dont get it first part says " they keep in step with the beat of a drummer at the head of the column. " then it says, that there is a mismatch in their footing...? how can that be?
ganeshie8
  • ganeshie8
guess we need to consider the time taken by sound to reach the soldiers in the back..
bemoseemo
  • bemoseemo
Sound travels at 340 meters per second, only 3 football fields a second.

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More answers

baru
  • baru
O.O i was about to guess that...but we dont know how much "a pace" measures
baru
  • baru
120 paces/min
bemoseemo
  • bemoseemo
The pace is an uncommon US customary unit of length denoting a brisk step and equal to 2½ feet or 30 inches (75.2 cm).
baru
  • baru
oh
ganeshie8
  • ganeshie8
I am also not sure... 2.5 feet looks good to me...
ganeshie8
  • ganeshie8
Answer given is 170 meters
baru
  • baru
first we can consider what happens to a soldier 1m away from the drummer, we can calculate how long sound takes to reach him, so he starts that many seconds late
ganeshie8
  • ganeshie8
time = distance / speed = distance / 340
baru
  • baru
aagh...i getting missed up...i'm starting to think we dont need to know how much a pace is
baru
  • baru
*messed
baru
  • baru
yes, we dont need what a pace is, 1m away guy starts 1/340 sec late column marches 2paces/sec (read pace as steps) so when the time lag reaches 1/2 second, there is a perfect mismatch of footing
baru
  • baru
1/340 * x = 1/2 x= 170
baru
  • baru
(guy x meter away starts x/340 seconds later)
ganeshie8
  • ganeshie8
Nice! I think length of the column could be any odd multiple of 170
baru
  • baru
yep, you said 1pace =2.5 ft just to throw me off dint u? XD
baru
  • baru
anyways, i can sleep in peace now. nice question.. thanks and goodnight :)
ganeshie8
  • ganeshie8
Hahaha yes somewhat... but I really had no clue initially! have good sleep :)

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