Question

A car has been circulating for 26 minutes, in this time it has traveled 2/3 of its journey. How much time will it take to travel the entire journey if we consider the car is always going at the same speed?

Answer 1

EQUATION

Exercise

Let  x be the total journey time.

If the car has traveled 2/3 of its journey, the equation to solve would be:

$\mathsf{\dfrac{2}{3}x = 26}$

Now, let's solve it. Multiply both sides by 3:

$\mathsf{3\left(\dfrac{2}{3}x\right) = 3(26)}$

‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎$\mathsf{\dfrac{6}{3}x = 78}$

‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎$\mathsf{2x = 78}$

Divide both sides by 2:

$\mathsf{2x \div 2 = 78 \div 2}$

‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎$\large{\boxed{\mathsf{x = 39}}}$

‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎

Answer. The entire journey will take 39 minutes.

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