Question

Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and traveled in the opposite direction with an average speed of 70 km/h. Find the number of hours gabriella needs to travel before they are 410 km apart.

Answer 1

3 hours

Explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

`Distance = Speed * Time`

Distance traveled in two hours by Willie =
`40 * 2 = 80\ km`

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

`Time\ taken = (330)/(110) = 3\ hours`

Therefore, the time taken is 3 hours.