Question

2. A man takes 2.5 hours to cover a certain distance at a speed of 5 km/hr by
bicycle. How long will he take to cover the same distance by bike at a speed of 40
km hr?​

Answer 1

Answer:

A cyclist takes two hours less to cover a distance of 200 km, if he increases his speed by 5km/hr., what is his original speed?

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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.

Step-by-step explanation:

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