Thursday, August 25, 2011

Story problem time!!

If Becca and her three young children have lunch plans with friend, Katie, and her two small children at 11:30 at a restaurant that is twenty-five minutes from her house, and it is currently 10:15, how many minutes late will she arrive? Show your work.

GIVEN:

-Lunch is at 11:30 -- T2 = 11:30
-Current time is 10:15 -- T1 = 10:15
-Driving time to restaurant is 25 minutes -- D = 25 mins

FIND:

-Arrival time -- Ta = ?
-How many minutes late -- TL= Ta-T2

ASSUMPTIONS:

-Older children will need to go potty (5-20 mins)
-Baby will need to nurse (10 mins)
-Purse will be MIA (5 mins)
-Everyone will need shoes (10 mins)
-Time to buckle kids into car varies as Tbuckle(minutes) = 1 / BS, where BS is a blood sugar coefficient that ranges from 0.1 to 1, BS chosen to be 0.1 based on time since breakfast

SOLUTION:

Ta = T1 + Tbuckle + D + Tother

Tother = Tpurse + Tnurse + Tshoes + 2*Tpotty + Ttantrum

...where Ttantrum is a random number between 1 and 20 minutes.

Tother = 5 mins + 10 mins + 10 mins + 2*10 mins + 7 mins
Tother = 52 mins

Ta = 10:15 + 10 mins + 25 mins + 52 mins
Ta = 11:42

TL = Ta - T2
TL = 11:42 - 11:30

TL = 12 mins

12 comments:

Sarah said...

LOVE this!

I would need to assume longer shoe time because even though the possible shoe options are all in a bin by the door, someone has been throwing a shoe-trum every time we leave the damn house. And it is not always the same someone. WTH? I thought not having girls meant no fashion dramz.

Kim said...

Too funny, Becca!

For our family, we would have to add in T(picking which toy to bring in the car) and T(Franklin having a hissy fit and disrupting the progression towards the door).

AJU5's Mom said...

Kim - we have the picking the toy(s) too. I also can't forget the T(fill the sippy cups) and instead of two potty runs, we have 1 diaper and 1 maybe potty run...
Isn't it fun to go places and try to be on time?

Ronni said...

Awesome!

WhitMc said...

My favorite post so far. BRILLIANT.

Rima said...

Math is not my forte, but I'm going to take a wild guess and say you were late?

Alyssa said...

LOL! You're awesome.

Anonymous said...

Genius --abby

Snarky Mommy said...

Tslamming the door on your sibling, locking them out of the house before Mommy is ready is also a popular option around these parts.

This was hysterical!

Kyla said...

Hahaha! Very clever.

sarah said...

HAHAHA!!!! Okay, this is the most I've enjoyed a math problem in my entire life.

Amy said...

I love nerdy-Mama posts! :)