To solve this problem, we need to understand that if the ratio of speeds of A and B is 3:5, then the ratio of the time taken by A and B to cover the same distance will be the inverse, i.e., 5:3.

Let's denote the time taken by B as 't'. Then, the time taken by A will be 't + 24' minutes (since A takes 24 minutes more than B).

According to the problem, the ratio of the time taken by A and B is 5:3. So, we can write the equation as follows:

(t + 24) / t = 5 / 3

Solving this equation will give us the value of 't', which is the time taken by B to cover the same distance.

First, cross-multiply to get rid of the fraction:

3*(t + 24) = 5*t

Expand the left side:

3t + 72 = 5t

Subtract 3t from both sides:

72 = 2t

Finally, divide by 2:

t = 36

So, B will take 36 minutes to cover the same distance.

Question

To solve this problem, we need to understand that if the ratio of speeds of A and B is 3:5, then the ratio of the time taken by A and B to cover the same distance will be the inverse, i.e., 5:3.

Let's denote the time taken by B as 't'. Then, the time taken by A will be 't + 24' minutes (since A takes 24 minutes more than B).

According to the problem, the ratio of the time taken by A and B is 5:3. So, we can write the equation as follows:

(t + 24) / t = 5 / 3

Solving this equation will give us the value of 't', which is the time taken by B to cover the same distance.

First, cross-multiply to get rid of the fraction:

3*(t + 24) = 5*t

Expand the left side:

3t + 72 = 5t

Subtract 3t from both sides:

72 = 2t

Finally, divide by 2:

t = 36

So, B will take 36 minutes to cover the same distance.

Knowee AI · Accepted Answer