You’re finally able to make your dream come true – you’re going on a road trip! The plan is to get there by plane, and, once you’ve landed, find a car to rent and visit a few places in one week.
All in all, you want to visit four cities, call them A, B, C, and D, so you have three trips to make between them: A -> B, B -> C, and C -> D. From what you found on the net, the distances are 80 mi, 140 mi, and 110 mi respectively. Also, your GPS tells you that the drives should respectively take 1.5 hr, 3 hrs, and 2.5 hrs. Well, it’s quite a lot of driving, but even the gas costs can’t spoil your enthusiasm, especially when you estimate it using the gas calculator!
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But what speed will you travel at? It’s one thing to know how far and how long it will take, but it might also be useful to know what kind of road you can expect.
For the first trip, the rate at which you’ll be driving is simply the fraction 80 mi / 1.5 hr. However, to get the actual velocity, we should divide the two numbers and find (surprise, surprise) the unit rate.
Take a look at the unit rate calculator and the formula at the top. Accordingly, in order to find the unit rate, we need to input the values of a and b. In our case, this means that for the A -> B trip, we have to input
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a = 80, b = 1.5.
Similarly, for the other two trips, we input
a = 140, b = 3,
and
a = 110, b = 2.5.
From the previous section, we know quite well how to find the unit rate: we divide the two numbers. So why don’t we grab a piece of paper, and check if we agree with the unit rate calculator?
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Denote the consecutive velocities by v₁, v₂, and v₃. Then, we have
v₁ = 80 mi / 1.5 hr ≈ 53.33 mph,
v₂ = 140 mi / 3 hr ≈ 46.67 mph,
v₃ = 110 mi / 2.5 hr ≈ 44 mph.
Well, it looks like the road is going to get tougher and tougher. Perhaps the terrain becomes more hilly? Tip: you can estimate it using math with the slope calculator.
Still, it’s going to be worth it! You have your beach body ready, so, without further ado… sandy beaches, here we come!
Source: https://t-tees.com
Category: WHICH
