A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at
a speed of (2x + 5) km/h. If the total distance
travelled is 90 km, x

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

km

Now,

Total distance = 90 km

Time cannot be negative. So, the only possible value of x is 5.

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope