Question

A bus covers a certain distance with uniform speed of the bus would have been increased bye 15 km per hour it would have taken 2 hours less to cover the same distance and if the speed of the bus would have been decreased by 5 km per hour it would have taken 1 hour more to cover the same distance find the distance covered by the bus?.​

Answer 1

Answer:

the distance covered by the bus = 360 km

the distance covered by the bus = 360 kmif the speed of the bus wolud have decreased by 5 km/h,it would have taken one hour more to cover the same distance.

Step-by-step explanation:

Distance = Speed x Time Distance = xy km According to the first condition, (x + 15)(y - 2); x(y - 2) + 15(y - 2) = xy :. xy - 2x + 15y - 30 = xy xy - 2x + 15y = 30 According to the second condition, (x - 5)(y + 1) = xy; x(y + 1) - 5(y + 1); = xy; xy + x - 5y - 5 = xy; x - 5y = 5 Multiplying (i) by 3 we get, 3x - 15y = 15 ..(iii) Adding binomial(1,1) and (ii) we get, - 2x + 15y = 30; (3x - 15y = 15)/(x = 45) Substituting x = 45in * (11); 45 - 5y = 5; - 5y = 5 - 45 -5y - 40 y = - 40/- 5; y = 8