the time taken by a person to cover 150 kilometre was 5 by 2 hours more than the time taken by a person in returning if he returned at the speed of 10 km per hour more than the speed of Boeing find speed per hour in each direction?
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Let the forward speed be x and the return speed will be x + 10.
We know that time = distance/speed
150/x = 150/x+10 + 2.5
150 (x + 10) - 150x = 2.5 x ( x + 10 )
x^2 + 10x - 600 = 0
(x+30) (x-20) = 0
x = -30 and x = 20.
The value of x cannot be negative.
Forward speed will be 20km/hr.
Return speed will be 30 km/hr.
Hope this helps!