If the numerator and denominator of a fraction are both increased by 5, the fraction becomes 5/6 . If the numerator and denominator are both decreased by one the new fraction becomes2/3 . Find the original fraction.
cyclist travels from town A to town C through another town B. He travels A to B at a speed of 6 km/h and B to C at a speed of 9 km/h. The time taken for journey is 4 hrs. On his return journey, the travels at a speed of 6 km from C to B and at a speed of 9 km/h. The time taken for return journey is 4 hrs and 20 minutes. Find the distance AC and BC.