Question

The driving time varies inversely with the speed of the car if a certain trip takes 40 minutes when you travel 50 miles per hour how many minutes would it take if you travel 40 miles per hour

Answer 1

Answer:

It will take 50 minutes take if you travel 40 miles per hour

Step-by-step explanation:

The driving time varies inversely with the speed of the car i.e.

$t\propto \dfrac{1}{v}$

or

$\dfrac{t_1}{t_2}=\dfrac{v_2}{v_1}$

We have,

$t_1=40\ min\\\\v_1=50\ mph\\\\v_2=40\ mph\\\\t_2=?$

Plugging all the values, we get :

$t_2=\dfrac{t_1v_1}{v_2}\\\\t_2=\dfrac{40\times 50}{40}\\\\t_2=50\ min$

So, it will take 50 minutes take if you travel 40 miles per hour.

Answer 2

The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

Calculation of the number of minutes:

Since if a certain trip takes 40 minutes when you travel 50 miles per hour

So, the time for 40 miles per hour should be

$= 40\times 50\div 40$

= 50 minutes

Therefore, The number of minutes would it take if you travel 40 miles per hour is 50 minutes.

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