Question

It took 48 minutes to drive downtown. An app estimated it would be less than that. If the error was 20%, what was the app’s estimate?

Answer 1

Answer:

The estimated taken to drive downtown using App is 38.4 minutes

Step-by-step explanation:

Given as :

The initial time taken to drive downtown = i = 48 minutes

The percentage error of time = r = 20%

Let The estimated time using app = t min

Let the time = 1 min

Now, according to question

The estimated time using app = The initial time taken to drive downtown × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, t minutes = i minutes × $(1-\dfrac{\textrm r}{100})^{\textrm 1}$

Or, t = 48 minutes × $(1-\dfrac{\textrm 20}{100})^{\textrm 1}$

Or,  t = 48 minutes × $\dfrac{100-20}{100}$

Or,  t = 48 minutes × $\dfrac{80}{100}$

∴ t = $\dfrac{48\times 80}{100}$ minutes

I.e t = 38.4 minutes

Or, The estimated time using app = t = 38.4 min

Hence, The estimated taken to drive downtown using App is 38.4 minutes Answer