Question

A cyclist takes 2hrs less to cover a dist of 200km, if he increases his speed by 5km/hr. Find his original speed.

Answer 1

Let us suppose the speed of the cyclist be ‘v’ km/hr , therefore the time taken to cover 200 km will be (200/v) hr. If he increases his speed by 5 km/hr , then the distance will be covered in (200/v+5) hr.

According to the question:

200/v -200/(v+5) =2

Taking L.C.M.

1000/v(v+5) = 2

On solving the quadratic eq. , we get permissible value of v to be equal to 20 km/hr.

Answer 2

Step-by-step explanation:

let ,

v 1 = 200/5= 40km / hrs

v2 =5km/hrs

v = v1 - v2

= 40km/hrs - 5 km/hrs

= 35 km/hrs answer