Problem

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01:14

Problem 64 Hard Difficulty

Estimate the number of bus drivers $(a)$ in Washington, D.C. and $(b)$ in your town.

Answer

A) 1000 drivers
B) 50 drivers

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Physics 101 Mechanics

Physics for Scientists and Engineers with Modern Physics

Chapter 1

Introduction, Measurement, Estimating

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Video Transcript

all right. Our question says tow, estimate the number of bus drivers in a Washington D C and be in your town. Okay, so I went ahead and wrote some things that were going to assume that were given here, Right, that we need to assume in order to solve this and do this approximation. One of them is that one bus is equal to about 50 people. You could get 50 people on the bus. I do no bus here for B R as B and people here is pee. And then I also say you'll get one driver for everyone, but so one d for driver is equal to one B for bus. Okay. And then the number of people living in D. C, which I did notice in sub d. C is equal to about half 1,000,000 or 0.5 times 10 to the six. Uh, I guess we could write units of people, right, which is P. We use P previously for people and then the number of people in the town that I'm in, which is Lawrence. Kansas is about 90,000 or 90 times 10 to the third people. Ok, so now that we know this. We're going to go ahead and use that to figure out the number of people that are living or that are driving in DC and in Lawrence eso To do that, we're going to first start out with the number of people that we have in D. C. And we're going to assume that 10% of those people, uh, r riding the bus writes a busy town, busy city. Let's pursue assume 10%. So we're going to multiply this by 10% right, which is AA 0.1. So just multiply this by 0.1, okay? And then, ah, that's going to be the number of passengers that we have number of people riding the bus, right? And then we're going to multiply that by the number of people that ride the bus because burn. Now we want to convert that to the number of buses that we have from people. Cry it. So for every bus, you have 50 people. So now we're in units of the number of buses that we have, right? Okay. And then we can use that to convert into a number of drivers that we have because we have one driver for everyone bus. So he multiplied out by that conversion, which is a simple 1 1 to 1 conversion, and this comes out to be approximately so. It's right Approximately symbol. 1,000 drivers D for drivers sweep ahead box that in as our solution to party Now in part B. We're going to do the same thing for the people in Lawrence. So we need to multiply the number of people in Lawrence by the percentage of people that ride the bus. It's not as busy in Lawrence as it is in D. C. So let's assume less people. Let's assume half a cz. Many so 5% or 0.5 Okay, now we're gonna convert that into people. Teo Number of buses. Right. So we need again same conversion number of people we can get on a bus is 50. Multiply that by that conversion. And so now we have the number of buses we have going, and then we have one driver for every bless, okay, and this gives us approximately 90 drivers in my town of warrants on box it in as your solution for party

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