Dheeraj has decided to walk a fixed distance on a treadmill. First day he works at a certain speed. Next day he increases his speed by one kilometre per hour and takes 6 minutes less. If he reduces the speed by one kilometre per hour he takes 9 minutes more. what is the fixed distance that he walks everyday
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Let the distance he need to travel be x km
And the required speed and time v km/
hr
And the time taken be t min
by data
v×t=x be equation 1
Next day speed increases by 1km/hr time decreases by 6min
speed =v+1; time= t-(1÷10)
(v+1)×(t-(1÷10))=x be equation 2
next case
(v-1)×(t+(3÷20))=x be equation 3
There are three equations and three variables on solving them we can get all the required values.
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