radius of a circular track is 63 m . 2 Cyclists A and B start together at speeds 33m/min and 44m/min. After how many min will they meet again ata the starting point ?
answer : 84min
answer : 84min
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length of track = 2 X 63 X Pi= 126 Pi
time taken by A for 1 round = 126 Pi / 33 = 12 minutes
time taken by B for 1 round = 126 Pi / 44 = 9 minutes
LCM OF 9 AND 12 IS 36
Answer = 36 minutes
time taken by A for 1 round = 126 Pi / 33 = 12 minutes
time taken by B for 1 round = 126 Pi / 44 = 9 minutes
LCM OF 9 AND 12 IS 36
Answer = 36 minutes
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First caclulate the circumference of the track.
c = 2 * pi * r
c =~ 395.8m
395.8m / 33m/min = 12 min
395.8m / 44m/min = 9 min
The lowest number divisible by both 9 and 12 is 36. So they will meet every 36 minutes.
I don't know where 84min comes from, something is wrong.
c = 2 * pi * r
c =~ 395.8m
395.8m / 33m/min = 12 min
395.8m / 44m/min = 9 min
The lowest number divisible by both 9 and 12 is 36. So they will meet every 36 minutes.
I don't know where 84min comes from, something is wrong.
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2π 63 / 33 = time for 1 circuit ≈ 12 min for A
2π63 / 44 ≈ 8 min for B...thus at 48 min they will both be at the starting point for the 1st time
{after starting }
2π63 / 44 ≈ 8 min for B...thus at 48 min they will both be at the starting point for the 1st time
{after starting }