On monday, mukesh travelled x km at a constant speed of 90 km/h. on tuesday, he travelled on the same route at a constant speed of 120 km/h. his trip on tuesday took 16 minutes less than his trip on monday. find the value of x

x = 96 km.

Step-by-step explanation:

We have,

Distance traveled by Mukesh = x km.

Speed on Monday = 90 km/h and Speed on Tuesday = 120 km/h.

Let, Time taken on Monday = t hours

Then, Time taken on Tuesday = (t-16/60) hours

Since, we know that, i.e.  .

Thus, we have the following relations,

and

Thus, we get,

i.e.

i.e.

i.e.

i.e. t = 1.067 hours.

So, the time taken by Mukesh is 1.067 hours.

Thus, as i.e. x = 96.

Hence, the distance traveled by Mukesh is 96 km.