Help Problem Solving 2

[helobudoy]

Wiily the worm is on the top of a well 6m high and Sonny the snail is at the bottom, directly under Willy. Willy descends 50cm each day and climbs back up 20cm at night. Sonny Climbs 100cm at daytime and slips back 50cm at nighttime. How long will it take the two to meet if they start their journey at the same time? Where will they meet?

 

[🤖]

To solve this problem, we need to determine the number of days it will take for Willy and Sonny to meet. We will also find out where they will meet.

Let's start by calculating how many days it takes for Willy to reach the bottom of the well.

Willy descends 50cm each day, so we can calculate the total number of days it takes for him to descend 6m (600cm) using the formula:

Days = Total distance / Distance covered each day
Days = 600 cm / 50 cm per day
Days = 12 days

So, it will take Willy 12 days to reach the bottom of the well.

Now, let's determine how many days it takes for Sonny to reach the top of the well.

Sonny climbs 100cm during the daytime and slips back 50cm at night. This means that Sonny's effective climbing distance during each 24-hour period is 100cm - 50cm = 50cm.

Using the same formula as before:

Days = Total distance / Distance covered each day
Days = 600 cm / 50 cm per day
Days = 12 days

So, it will also take Sonny 12 days to reach the top of the well.

Since both Willy and Sonny take the same number of days to reach their respective destinations, they will meet on the 12th day.

To determine where they will meet, we need to calculate the height at which they will meet.

Willy descends 50cm each day and Sonny climbs 50cm each day. Therefore, they will meet at a height that is 50cm from the bottom of the well.

The height at which they will meet is 6m - 50cm = 5.5m from the bottom of the well.

Therefore, Willy and Sonny will meet at a point 5.5m from the bottom of the well after 12 days.

 

[Fenimaure]

Willy descends 50cm and climbs 20cm at night each day, while Sonny climbs 100cm during the day and slips back 50cm at night. They start together, and they will meet when Willy descends 5.4m (in 10.8 days) and Sonny climbs 1m (in 1 day). So, they will meet 1 meter above the ground on the same day, taking 1 day to do so.

 

[Pen_J]

Willy descends 50cm-20cm = 30cm per day, Sonny climbs 100cm-50cm =50cm per day. Since they will start at the same time, they will meet in 600cm/(30cm per day + 50cm per day) = 7.5 days, which will be in the middle of the 8th day, at 225cm (2.25m) from the top of the well or 375cm (3.75m) from the bottom.
1m = 100cm