Question

A man travels by a car from Town A to Town B, a total distance of x km/h. He finds that the time for the journey would be shorter by 25 minutes if he increased his average speed by 12 km/h. Find x.

Answer 1

The question is incomplete. The complete question is :

A man travels by a car from town A to town B, a total distance of 100 km at an average speed of x km/h. he finds that the time for the journey would be shorter by 25 minutes if he increases his average speed by 12km/h. Find x​ ?

Solution :

It is given the that the distance between town A and B is = 100 km

His initial average speed is = x km/h

His increased average speed is = 12 km/h

Time is shortened by = 25 minutes

So according to the question,

`$(x \ km/h)/(100\ km)-(12 \ km/h)/(100 \ km) = 25$`

`$(x-12)/(100)=25$`

x-12 = 2500

x = 2512