A cyclist traveling at a constant speed completes 3/5
Of a trip in 1 1/2h. In how many additional hours will the cyclist complete the entire trip?
Let x = total time in hours.
3/5x = 1.5
x = 5/3 * 1.5 = 2.5
2.5 - 1.5 = ?
To find the additional hours it will take the cyclist to complete the entire trip, you need to first find the time it took for the cyclist to complete 3/5 of the trip.
Let's start by expressing the total time it took for the cyclist to complete 3/5 of the trip.
Time = 1 1/2 hours
= 3/2 hours
Now, we can set up a proportion to find the total time it would take the cyclist to complete the entire trip.
3/5 of the trip takes 3/2 hours
1 whole trip will take x hours
Setting up the proportion:
(3/5) / (3/2) = 1 / x
To solve this proportion, we can multiply the numerator of the first fraction by the denominator of the second fraction, and multiply the denominator of the first fraction by the numerator of the second fraction:
(3/5) * (2/3) = 1 / x
This simplifies to:
6/15 = 1 / x
To isolate x, we can cross-multiply:
6x = 15
Dividing both sides by 6, we get:
x = 15/6
Simplifying this fraction, we find:
x = 2 1/2
Therefore, it will take the cyclist an additional 2 1/2 hours to complete the entire trip.
To solve this problem, we need to find the time it takes for the cyclist to complete the entire trip.
We are given that the cyclist completes 3/5 of the trip in 1 1/2 hours. This means that 3/5 of the trip takes 1 1/2 hours.
To find how long the entire trip takes, we can set up a proportion:
(3/5) / (1 1/2) = 1 / X
To simplify the equation, we need to convert the mixed number 1 1/2 to an improper fraction.
1 1/2 = (2*1 + 1) / 2 = 3/2
Now we can rewrite the equation:
(3/5) / (3/2) = 1 / X
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(3/5) * (2/3) = 1 / X
Now we can simplify the equation further:
6/15 = 1 / X
To find X, we take the reciprocal of both sides:
15/6 = X
Simplifying the fraction, we get:
X = 2 1/2
Therefore, the cyclist will need an additional 2 1/2 hours to complete the entire trip.