a man walked for some distance at 8km/h, and for an equal distance at 5km/h. the total time he took was 3 1/4 hours. find the distance he walked
time = distance/speed
d/8 + d/5 = 3.25 = 13/4
clear fractions by multiplying by 40:
5d + 8d = 130
13d = 130
d = 10
10km at 8km/h = 1.25 hrs
10km at 5km/h = 2 hours
To find the distance the man walked, we need to use the formula:
Distance = Speed × Time
Let's assign some variables to the information given in the question:
Let "x" be the distance walked at 8 km/h.
Since the distance walked at 8 km/h is equal to the distance walked at 5 km/h, the distance walked at 5 km/h is also "x".
Now, let's calculate the time it took for each part of the journey:
Time taken to walk at 8 km/h: x / 8
Time taken to walk at 5 km/h: x / 5
The total time taken is given as 3 1/4 hours, which can be written as 3.25 hours.
Using the given information, we can set up an equation to solve for "x":
x / 8 + x / 5 = 3.25
To simplify the equation, we can multiply both sides by 40 (the least common multiple of 8 and 5) to eliminate the denominators:
(40 * x) / 8 + (40 * x) / 5 = 3.25 * 40
5x + 8x = 130
Combining like terms:
13x = 130
Divide both sides by 13 to solve for "x":
x = 10
Therefore, the distance the man walked is 10 kilometers.