Let the distance = x km and usual rate = y km/hr Then xy−xy+3=4060⇒x(y+3)−xyy(y+3)=23⇒3xy(y+3)=23
⇒2y(y+3)=9x...............(i)
and xy−2−xy=4060⇒xy−x(y−2)y(y−2)=23 ⇒2xy(y−2)=23
⇒y(y−2)=3x...............(ii)
On dividing eqn (i) by eqn (ii) we get
2(y+3)y−2=3⇒2y+6=3y−6⇒y=12
∴ Putting the value of y in (i) we get 2 x 12 x 15 = 9x ⇒ x = 40 km/hr