Question

Judy and Amna are on a safari. They are standing 20 feet apart when they spot a snake. Judy and Amna run in opposite directions at speeds of 180 feet per minute and 120 feet per minute, respectively. In how many minutes will they be 2420 ft apart?

Answer 1

To determine how long it will take for Judy and Amna to be 2420 feet apart, we start by defining their movement rates and the distance they are currently apart.

1. **Initial distance apart:** 20 feet
2. **Speed of Judy:** 180 feet per minute
3. **Speed of Amna:** 120 feet per minute

When they run in opposite directions, their speeds add up. Therefore, the combined speed of Judy and Amna is:

\[
\text{Combined speed} = 180 \text{ feet/min} + 120 \text{ feet/min} = 300 \text{ feet/min}
\]

They start 20 feet apart and we want to find out how long it takes for them to be 2420 feet apart. The distance we need to cover is:

\[
\text{Distance to cover} = 2420 \text{ feet} - 20 \text{ feet} = 2400 \text{ feet}
\]

Now, we can use the formula for time, which is:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

Substituting the values we have:

\[
\text{Time} = \frac{2400 \text{ feet}}{300 \text{ feet/min}} = 8 \text{ minutes}
\]

Thus, Judy and Amna will be 2420 feet apart in \( \boxed{8} \) minutes.