anonymous
  • anonymous
A train crossestwo person cyclying in the same direction, in 12 second and 15 seconds respectively.if the speed of the two cyclyst are 10 kmph and 12 kmph, then find the length and speed of train.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
dumbcow help me............
anonymous
  • anonymous
speed = 20kmph andlength =100/3 meter but dont kno hw to solve
dumbcow
  • dumbcow
not sure on this one does it take 15 sec to pass both

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anonymous
  • anonymous
no 12 sec and 15 sec respectively
dumbcow
  • dumbcow
ok got it d = r*t r is speed of train d is distance of train t is time it take to pass each cyclist also need to convert from km/hr to m/s 1km/hr = 10/36 m/s cyclist 1: d = (r-10)(10/36)*(12) cyclist 2: d = (r-12)(10/36)*(15) to find r set 2 equations equal (r-10)(10/36)*12 = (r-12)(10/36)*(15) (10/36) cancels 12r -120 = 15r - 180 -3r = -60 r = 20 substitute this back in to find d d = (20-10)(10/36)*12 d = 1200/36 d = 100/3
anonymous
  • anonymous
Let the speed of the train be v Thus, the relative speed of c1 = v-c1=v-10 the relative speed of c2 = v-c2=v-12 Now, speed = length of the train/time to cross the cycle v-10=L/12 and v-12=L/15 Therefore L/12+10 = L/15+12 L+120/12=L+180/15 15L+120*15 = 12L + 12*180 3L = 12*180 - 120*15 L = 4*180 - 40*15 =40(18-15) =40(3) 120.
dumbcow
  • dumbcow
you forgot to convert to m/s for speed because time is in sec
anonymous
  • anonymous
I didn't
anonymous
  • anonymous
Ya right, sorry!
anonymous
  • anonymous
I don't know why they haven't given the option to delete answers!
dumbcow
  • dumbcow
amit did that help you understand
anonymous
  • anonymous
yes

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