In covering a distance of 56 km, Anirudh takes 5 hours more than Burhan. If Anirudh doubles his speed, then he would take 2 hour less than Burhan. Anirudh's speed is:

Correct option is A

Given:

Distance = 56 km

Anirudh takes 5 hours more than Burhan

If Anirudh doubles his speed, he takes 2 hours less than Burhan

Formula Used:

Time = $$\frac{\text{Distance}}{\text{Speed}}$$​​

Solution:

Let Burhan's speed be B, and Anirudh's speed be A. T

Use the given conditions to form equations.

​$$\frac{56}{A} = \frac{56}{B} + 5$$​​

​$$\frac{56}{A} - \frac{56}{B} = 5 \quad \text{(1)}$$​​

Now, from second condition

​$$\frac{56}{2A} = \frac{56}{B} - 2$$​​

​$$\frac{56}{B} - \frac{56}{2A} = 2 \quad \text{(2)}$$​​

Adding eq(1) and (2): 

we get ; 

​$$\frac{56}{A} - \frac{56}{2A} = 7$$​​

​$$\frac{28}{A} = 7$$​​

​$$\implies A = 4$$​​

Thus, Anirudh’s speed is 4 km/h.