Question #dd61e

1 Answer
seph
Nov 28, 2014

Let #D_I# be the distance traveled by Ian
Let #x# be Ian's speed.
Let #y# be the duration that Ian traveled

#D_I = xy#

Let #D_H# be the distance traveled by Han

#D_H = (x + 5)(y + 1)#
#=> D_H = xy + x + 5y + 5#

#D_H = xy + 70#

#xy + x + 5y + 5 = xy + 70#
#=> x + 5y + = 65#

Let #D_J# be the distance traveled by Jan
Let #Z# be the extra distance traveled by Jan compared to Ian

#D_J = (x + 10)(y + 2)#

#D_J = xy + Z#

#=> xy + 2x + 10y + 20 = xy + Z#
#=> 2x + 10y + 20 = Z#

#=> 2(x + 5y) + 20 = Z#

#=> 2(65) + 20 = Z#

#=> Z = 150#

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