In a serious case of deja vu, the evil cats and dogs came pouring from the heavens with a vengeance late Thursday afternoon.
This time though the newly-reinforced roof of The Temple managed to hold its own, leaving an immensely relieved Miss Loi to continue marking her students’ homework.
As if to prove that a special telepathy bond exists between the owner and her pet, Miss Loi sensed a disturbance in the apparent serenity when she could almost hear a faint mechanical “help!” coming from the direction of … THE CARPARK!!!
Like a desperate heroine to the rescue of her lover in distress, Miss Loi bolted passed the Temple Gates to stand before the scene of carnage that greeted her.
As she dashed across the road towards the carpark, with the incessant rain mercilessly ruining her makeup, she found her usual path transformed into a raging river!
Oh but a raging river is no obstacle to her determination to reach her love, even though she lacked the prerequisite dragonfly skipping water aka 蜻蜓点水 ability. And so in an emotional scene, Miss Loi threw caution to the wind and sacrificed her Charles & Keith shoes to wade through these waters to the carpark.
After what seemed like an eternal trudge through the waters, she finally spotted her fragile object of love – cold and weakened, and stranded on a patch of dry land surrounded by menacing flood waters. Tears filled her eyes as she threw aside her umbrella (no she didn’t) and rushed forward (in typical slow-motion) to an emotional reunion under the pouring rain.
Upon recovering from that dramatic moment, Miss Loi found to her dismay that the exit route was awashed with more evil floodwaters!
A quick call to her exclusive oracle in the Meteorological Station revealed that the rain will stop in exactly 50 mins time. But ominously, the large longkang ala monsoon drain beside her car is filling up fast!
A decision has to be made now as to whether to Miss Loi should drive through the floodwaters and make a run for the exit, or wait out the next 50 mins and risk getting her Charles & Keith shoes ruined further if the drain overflows.
Once again, using her amazing mathematical analysis powers …
The cross sectional profile of the drain is uniformly trapezoidal with two equally sloping sides, a depth of 100 cm, a base width of 50 cm and a maximum width of 100 cm at the top.
Given that Miss Loi has just witnessed the width of the water level
rise lengthened alarmingly in a constant manner from an initial 60 cm (at the time she called the Meteorological Station) to 70 cm in just 10 minutes. determine if the height of the water in the drain will overflow within 50 mins.
*Find the rate at which the height of the water in the drain is rising, and hence determine if the height of the water in the drain will overflow within 50 mins.
*re-phrased thanks to someone ‘hacking‘ this question!
Can you please help Miss Loi decide? As far as possible she wants to avoid ending up like this!
NOTE: Unfortunately, this is based on a true story.