iqbal's grandfather live 108km away from his house.when iqbal wants to visit them, he travels 24 km of distance through a bus and the rest by train. what the ratio of the distance Iqbal travels by bus to the distance he travels by train?
Answers
Answer:
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Answer:
let iqbal's grandfather travels with speed x km/hr
so time taken to cover the distance of 108 km,
= 108 / x
if speed increases by 2 km/hr i.e. now speed = x+2
then time requires to cover 108 km,
= 108/x+2
these two time has difference of 9/2 hour
therefore, 108/x-108/x+2 =9/2
[108(x+2) -108x] / x(x+2) = 9/2
108x+216-108x/x^2+2x = 9/2
216/x^2+2x = 9/2
9 (x^2+2x) = 216 ×2
9 x^2 + 18x = 432
9 x^2 + 18x - 432 = 0
x^2 + 2x - 48 = 0
x^2 + 8x -6x - 48 = 0
x(x + 8) - 6(x + 8) = 0
(x + 8) (x-6)=0
(x + 8) = 0 or (x-6)=0
x = -8 or x = 6
speed never minus therefore x = -8 not possible
SO, X =6