A marathon runner runs 2/6 kilometers in 3/5 hours. What is the distance he runs in 2 1/2 hours?
(2/6) / (3/5) = (?) / (5/2)
2/6 is 1/3 typo?
2 1/2 hr * ( 1/3 km / 3/5 hr)
= (5/2)*(1/3) * (5/3) km
= 25/18 km
To calculate the distance the marathon runner runs in 2 1/2 hours, we can use the given information about the runner's speed. We know that the runner runs 2/6 kilometers in 3/5 hours.
To find the runner's speed in kilometers per hour, we need to divide the distance by the time. So, we can use the formula:
Speed = Distance / Time
Let's calculate the runner's speed:
Speed = (2/6 kilometers) / (3/5 hours)
To divide fractions, we invert the second fraction and multiply:
Speed = (2/6 kilometers) * (5/3 hours)
Multiply the numerator and denominator for both fractions:
Speed = (2 * 5) / (6 * 3) kilometers/hour
Speed = 10/18 kilometers/hour
Simplifying the fraction, we get:
Speed = 5/9 kilometers/hour
Now that we know the runner's speed, we can calculate the distance covered in 2 1/2 hours. To do this, we multiply the speed by the time:
Distance = Speed * Time
Let's calculate the distance:
Distance = (5/9 kilometers/hour) * (2 1/2 hours)
To multiply a whole number and a fraction, we convert the whole number to a fraction with the same denominator as the fraction:
Distance = (5/9 kilometers/hour) * (5/2 hours)
Multiply the numerator and denominator for both fractions:
Distance = (5 * 5) / (9 * 2) kilometers
Distance = 25/18 kilometers
Therefore, the marathon runner runs 25/18 kilometers in 2 1/2 hours.
I have the same feeling.
"2/6 kilometers in 3/5 hours" ?? I toddler can walk faster than that.
did you mean:
... run 26 km in 3.5 hours
See if you fix your question, coincidence that a marathon is appr 26 miles.