Answer :
Answer:
Step-by-step explanation:To find the total distance of the man's journey, we can set up a proportion. Let the total distance of his journey be \( x \) km. According to the problem, 65 km is \(\frac{5}{8}\) of his total journey. Therefore, we can write the equation:
\[ 65 = \frac{5}{8} \times x \]
To solve for \( x \), we need to isolate \( x \). We can do this by multiplying both sides of the equation by the reciprocal of \(\frac{5}{8}\), which is \(\frac{8}{5}\):
\[ x = 65 \times \frac{8}{5} \]
Now, let's calculate this:
\[ x = 65 \times \frac{8}{5} \]
\[ x = 65 \times 1.6 \]
\[ x = 104 \]
So, the total distance of his journey is 104 km.
[tex] \LARGE\mathbb{DIRECTOR\: GENERAL} [/tex]
[tex] \LARGE\mathbb{●PLEASE\: MARK\:ME\:AS\:BRAINLIEST●} [/tex]
To solve this problem, we need to find the total distance of the man's journey given that 65 km is 5/8 of the total distance.
Given information:
- The man has traveled 65 km.
- The distance traveled, 65 km, is 5/8 of the total journey.
Let's represent the total distance of the journey as x.
Since 65 km is 5/8 of the total distance, we can write the equation:
65 = (5/8)x
Multiplying both sides by 8/5 to isolate x, we get:
x = (65 × 8/5)
x = 104 km
Therefore, the total distance of the man's journey is 104 km.