Victor jogs early morning from his house to rizal stadium at an average of 5kph rests for half and hour and jogs back with half his average speed going to stadium. If he consumes a total of 4 hrs. how far does victor jog?

since time=distance/speed,

x/5 + 1/2 + x/(5/2) = 4
x = 35/6

His total distance is 2x

tnx

To find the distance Victor jogs, we need to use the formula: distance = speed * time.

Let's calculate the time it takes for Victor to jog to the stadium.

Distance from Victor's house to Rizal Stadium = Distance from Rizal Stadium to Victor's house.

Let's assume the distance between the two locations is 'd' km.

Time taken to jog to the stadium = distance / speed = d km / 5 kph = d/5 hours.

Now, Victor rests for half an hour at the stadium.

So, the total time taken for the complete round trip is d/5 + 0.5 hours.

We know that the total time Victor consumes is 4 hours.

Therefore, we can set up the equation: d/5 + 0.5 = 4.

To solve the equation for 'd', we will isolate the variable:
d/5 = 4 - 0.5
d/5 = 3.5

To solve for 'd', we will multiply both sides of the equation by 5:
d = 3.5 * 5
d = 17.5 km

Hence, Victor jogs a distance of 17.5 kilometers