Question

Linda and Deepti are walking and jogging on a circular trail. Linda can complete one circuit in 24 pinutes, and Deepti can complete the circuit in 16 minutes. If they both start at the same place at The same time, when will they be at the starting place at the'same time?

Answer 1

They will be at the starting place at the same time after approximately 9.6 minutes.

Step-by-step explanation:

Let's find the time it takes for Linda to complete one circuit and the time it takes for Deepti to complete one circuit. Linda takes 24 minutes to complete one circuit, so her speed is 1 circuit per 24 minutes which is equivalent to 1/24 circuits per minute. Deepti takes 16 minutes to complete one circuit, so her speed is 1 circuit per 16 minutes which is equivalent to 1/16 circuits per minute.

We can set up an equation to find the time when they will be at the starting place at the same time. Let t be the number of minutes it takes for them to be at the starting place at the same time. The equation is:

1/24 * t + 1/16 * t = 1

Combining the fractions, we get:

4/96 * t + 6/96 * t = 1

Simplifying the equation, we get:

10/96 * t = 1

Multiplying both sides of the equation by 96/10, we get:

t = 9.6

Therefore, they will be at the starting place at the same time after approximately 9.6 minutes.