1. But, soft! what light through yonder window breaks?
Juliet appears at her window, 5 meters above Romeo who’s standing on the ground beneath it.
Do you want to:
(a) climb the vine for a quick kiss?
(b) step back a bit and talk to her?
Climb the vine
Romeo is 180cm tall and weighs 50kg.
The vines are on a trestle in three separate sections.
Each section will support Romeo’s weight for a maximum of 3 minutes.
The vertical stack of trestles will support his weight for a maximum of 7 minutes
Romeo can climb the trestle to Juliet’s window in 4 minutes.
Additionally, there’s a Capulet patrol which he’s made sure avoid for this short tryst. It will return in 10 minutes.
Q1 Can Romeo climb the trestle and reach the window without falling and injuring himself?
Yes/No
Q2 How long can he hang around at the top before the trestle comes off the wall?
(a) 5 min (b) 3 min (c) won’t make it
Q3 Will the patrol catch him in the act?
Yes/No
Correct answers go to 3 Incorrect answer goes to 2.
Step back and chat
Juliet is 5m off the ground, looking down at Romeo.
There’s a Gargoyle directly beneath the window. This restricts Juliet’s view of Romeo. She won’t see him if he’s less than 1m from the wall.
However, there’s also a security camera attached to the wall just above her window. Its view creates a triangle, the vertex (top point) at the camera lens, 6m above the ground, leading down to its base starting 4m from the wall and ending 10m from the wall.
Romeo is 180cm tall.
How far from the wall can Romeo stand to hold a conversation with Juliet and avoid being seen by the camera?
(a) 3m (b) 2m (c) won’t work. He’ll need to climb the trestle.
Correct answer - go to 3 Incorrect answer go to 2
2. Whoops! The patrol is chasing Romeo
Romeo is running at a speed of 15km/hour.
The Capulet patrol is running at a speed of 10km/hr. Mainly because their 1m long swords are getting in the way.
There’s an outer wall that is 3m tall. Romeo climbed this earlier to get into the grounds to chat with his young love. It is 250m away.
Romeo can scale the wall in about 30 seconds.
Your answers please!
When does Romeo reach the wall? – FIELD TO ANSWER
When is Romeo on top of the wall? – FIELD TO ANSWER
When does Capulet patrol reach the wall? – FIELD TO ANSWER
Can Romeo Mock the Capulets? Yes/No
COLLAPSIBLE SECTION
| Workings | Distance | Time to cover |
|---|---|---|
| Speed Romeo travels at | 15 km | 1 hour |
| Break down to minutes | 15km | 60 minutes |
| Break down to meters | 15000m | 60 minutes |
| Get to single digit minutes by dividing both sides by 10 | 1500m | 6 minutes |
Okay, so Romeo travels 1500m in 6 minutes.
| Workings | Distance | Time to cover |
|---|---|---|
| Divide both sides by 6 to get distance in 1 minute | 1500/6 = 250m | 1 minute |
| Add 30 seconds to climb the wall | 1 minute 30 seconds |
Answer Romeo is on top of the wall in 1 minute, 30 seconds.
What about the patrol?
| Workings | Distance | Time to cover |
|---|---|---|
| Speed of Capulet Patrol | 10km | 1 hour |
| Break down to minutes | 10km | 60 minutes |
| Break down to meters | 10000m | 60 minutes |
| Divide both sides by 10 to remove last zero and get us to single digit minutes | 1000m | 6 minutes |
So the Capulet patrol travels 1000m in 6 minutes
| Workings | Distance | Time to cover |
|---|---|---|
| Divide both sides to get distance in 1 minute | 1000/6 = 166ish metres | 1 minute |
But we really need time to cover 250m, and this doesn’t really do that. There’s a faster way.
| Workings | Calculation | Distance | Time to cover |
|---|---|---|---|
| Capulet patrol travels… | 1000m | 360 seconds (6 minutes) | |
| Distance to travel | 250m | ||
| Divide 1000m by 250m | 4 | ||
| Divide time by 4 | 360 / 4 | 90 seconds | |
| Distance and time to reach wall | 250m | 90 seconds |
Answer: The Capulet patrol reach the wall in 1.5 minutes.
Romeo Escapes! Yay for Romeo!
END COLLAPSIBLE SECTION
Q2a. Romeo mocks the capulets
If Romeo sits atop the wall, leaving his 90cm long leg hanging down, can a 180cm capulet retainer slash Romeo’s leg with his sword?
Yes/No
Your answer please
Correct answer - go to 3 Incorrect answer - go to 2a
2a. Tybalt ditches his sword
Juliet’s cousin is in the patrol.
20m from the wall he ditches his sword. He can now accelerate to 15km/h. It takes him 30 seconds to do this.
Romeo has been running at a constant 15km/h since the chase began.
Q1. How far is Romeo from Tybalt when he ditches the sword?
(a) 10m (b) 5m (c) He’s right on top of him! Run, Romeo, Run!
Q2. Can Tybalt catch Romeo before he gets to the wall?
Yes/No
Q3. How long before Romeo scales the wall?
(a) 3min (b) 5 min (c) Won’t happen. He’ll need to stand and fight
Correct answer - go to 3
Incorrect answer - go to end
3 MORE VARIATIONS
END
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