SOLUTION: A train 100 meter long takes 3 second to cross a man walking at the rate of 6km/hr in a direction opposite to that of the train. Find the speed of the train.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A train 100 meter long takes 3 second to cross a man walking at the rate of 6km/hr in a direction opposite to that of the train. Find the speed of the train.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1036256: A train 100 meter long takes 3 second to cross a man walking at the rate of 6km/hr in a direction opposite to that of the train. Find the speed of the train.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
A train 100 meter long takes 3 second to cross a man walking at the rate of 6km/hr in a direction opposite to that of the train.
Find the speed of the train.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let "u" be the speed of the train (in meters/minute !), now unknown.

Then the equation is

0.05*u + 100*0.05 = 100     (1)

(0.05 is the 0.05 minute = 1%2F20 minute = 3 sec;
100  = 6 km%2Fh = 6000_m%2F60_minutes = 100 m%2Fmin ).

Simplify and solve (1):

0.05u + 5 = 100,

0.05u = 100 - 5 = 95,

u = 95%2F0.05 = 1900 m%2Fmin = 114 km%2Fh.

Answer.  The speed of the train is 114 km%2Fh.
Solved.