Question

. A man covers a distance of 200 km travelling with a
- uniform speed of x'km per hour. The distance could
have been covered in 2 hours less, had the speed been
(x + 5) km/hr. Calculate the value of 'x'. (ICSE)​

Answer 1

Step-by-step explanation:

this is Answer of your question

Answer 2

The value of x is 20 km/hr.

Explanation:

Given: Uniform speed = x km/hr

Time taken = t hrs , Distance = 200 km.

Formula: Speed = distance ÷ time taken

So, xt = 200

t = 200 ÷ x

Now, (x + 5) (t - 2) = 200

(x + 5) (200 ÷ x - 2) = 200

(x + 5)(200 - 2x) = 200x

200x – 2x² + 1000 – 10x = 200x

x² + 5x - 500 = 0

x² + 25x – 20x – 500 = 0

(x + 25) (x - 20) = 0

x = -25, x = 20

Speed, x = 20 km/hr.

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