Select the correct answerThe ratio of speeds of A and B is 3 : 5. If A takes 24 minutes more than B to cover a certain distance then how much time (in minutes) will B take to cover the same distance?Options36402018
Question
Select the correct answerThe ratio of speeds of A and B is 3 : 5. If A takes 24 minutes more than B to cover a certain distance then how much time (in minutes) will B take to cover the same distance?Options36402018
Solution
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.
Cross multiply to get: 3(t + 24) = 5t Expand to get: 3t + 72 = 5t Rearrange to get: 72 = 2t Finally, solve for t: t = 72 / 2 = 36
So, B will take 36 minutes to cover the same distance. Therefore, the correct answer is 36.
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