d=rt help?

At 10 : 45 A.M. two people leave their homes that are 6 miles apart and begin walking toward each other. If one person walks at a rate that is 2 mph faster than the other and they meet after 1.5 ​hours, how fast was each person​ walking?

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  • 3 weeks ago

    At 10 : 45 A.M. two people leave their homes that are 6 miles apart

    and begin walking toward each other.

    If one person walks at a rate that is 2 mph faster than the other

    and they meet after 1.5 ​hours,

    how fast was each person​ walking?

    Let the two walking speeds be x & (x + 2) mph   

    Use d = rt   

    15 = 1.5 x + 1.5(x + 2) 

    15 = 1.5x +1.5x + 3 

    12 = 3x 

    x = 12/3 = 4 

    One person is walking at 4 mph and the other at 6 mph.

  • 3 weeks ago

    Let Va, Vb mph be the walking speed of person A, B

    respectively, Va=Vb+2. Then

    6/(Va+Vb)=1.5

    =>

    6/(Vb+2+Vb)=1.5

    =>

    3/(Vb+1)=1.5

    =>

    Vb=1 mph

    Va=1+2=3 mph.

  • Como
    Lv 7
    3 weeks ago

    :-

    Let persons be A and B

    Let speed of A = x mph

    Speed of B = x + 2 mph

    Relative speed of B to A = 2x + 2 mph

    Meet after 1•5 hours

    Distance travelled by B = 1•5 ( 2x + 2 ) = 6 miles

    3 x + 3 = 6

    x. = 1

    Speed of A = 1 mph

    Speed of B = 3 mph

  • Ian H
    Lv 7
    3 weeks ago

    1mph and 3mph relative speed is 4 mph.

    6 miles in 1.5 hours is 4 mph

    If you want to use algebra write v + v + 2 = 6/1.5

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  • 3 weeks ago

    Method 1:

    Let r mph be the speed of the slower one.

    Then, speed of the faster one = (r + 2) mph

    Total distance taken (in miles):

    1.5r + 1.5(r + 2) = 6

    3r + 3 = 6

    3r = 3

    r = 1

    r + 2 = 3

    Their speeds are 1 mph and 3 mph respectively.

    ====

    Method 2:

    Let x mph and y mph be their speeds respectively, where y > x

    y = x + 2 …… [1]

    1.5x + 1.5y = 6 …… [2]

    Substitute [1] into [2]:

    1.5x + 1.5(x + 2) = 6

    3x + 3 = 6

    x = 1

    Substitute x = 1 into [1]:

    y = 1 + 2

    y = 3

    Their speeds are 1 mph and 3 mph respectively.

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