In covering a distance of 60 km , Anil takes 2 hours more than Asif. If Anil doubles his speed , then he would take1 hr less than Asif . What is Anil's speed ?15 km18 km12 km10 km25 km

Let's denote the speed of Anil as 'a' km/hr and the speed of Asif as 's' km/hr.

From the problem, we have two equations:

1. 60/a = 60/s + 2 (since Anil takes 2 hours more than Asif to cover the same distance)

2. 60/(2a) = 60/s - 1 (since if Anil doubles his speed, he would take 1 hour less than Asif)

Now, we can solve these two equations to find the value of 'a' (Anil's speed).

First, we can simplify both equations:

1. 60/a - 60/s = 2

2. 60/(2a) - 60/s = -1

Multiply all terms by 'as' to clear the denominators:

1. 60s - 60a = 2as

2. 30s - 60a = -as

Rearrange the terms:

1. 60s = 2as + 60a

2. 30s = -as + 60a

Simplify:

1. 60s = 120a

2. 30s = 60a

Divide by the coefficients of 'a':

1. s = 2a

2. s = 2a

Both equations give the same result, which means our setup is correct.

Substitute s = 2a into the first original equation:

60/a = 60/(2a) + 2

Simplify to:

1 = 1/2 + 2/a

Subtract 1/2 from both sides:

1/2 = 2/a

Solve for 'a':

a = 4

So, Anil's speed is 4 km/hr. However, this is not one of the options given. There seems to be a mistake in the problem or the options provided.