A person covers a certain distance with certain speed, if he increases his speed by 16 km/hr. then he will be 3 hrs. before. If decreases his speed by 16 km/hr the will be 6 hr. late. Find his original speed.
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The original speed of the person
= 48 Km/hr
Let the original speed of the person be equal to x Km/hr.
Let the time taken = t hrs.
Distance travelled = x × t
When speed is increased by 16 Km/hr -
speed = x + 16
time taken = t-3
Distance travelled = (x+16) × (t-3)
=> x × t = (x+16) × (t-3)
=> xt = xt +16t -3x-48
=> 16t - 3x -48 = 0 ----(1)
When speed is decreased by 16 Km/hr -
speed = x - 16
time taken = t+6
Distance travelled = (x-16) × (t+6)
=> x × t = (x-16) × (t+6)
=> xt = xt -16t +6x-96
=> 16t -6x +96 = 0 ----(2)
Solving the equations (1) and (2) to find the values of x and t.
x = 48 Km/hr
t = 12 hours
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