Mathematics, 18.09.2019 11:00 Geo777

Jean-luc jogged around the lake in 1 and 1/4 hour. william jogged the same distance in 5/6 hour. how much longer longer did jean-luc take than william in hours?

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Answer from: ksalinas7404

5/6=0.83333333333=0.83 repeating.
0.83-0.25=0.583 repeating on 83

Answer from: eddie828

⁵/₁₂ hours

Further explanation

Given:

Jean-Luc jogged around the lake in $1 \frac{1}{4}$ hour. William jogged the same distance in $\frac{5}{6}$ hour.

Question:

How much longer did Jean-Luc take than William in hours?

The Process:

Let us prepare $\boxed{1\frac{1}{4} = \frac{5}{4}}$ as a jogging time from Jean-Luc.

We have to do a subtraction between two fractions to find out how much longer did Jean-Luc take than William in hours.

Previously, we must equate the denominator. We know that the least common multiple (LCM) of 4 and 6 is 24.

$\boxed{ \ Jean-Luc: 1\frac{1}{4} = \frac{5}{4} = \frac{5 \times 6}{4 \times 6} = \frac{30}{24} \ }$ $\boxed{ \ William: \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \ }$

SInce $\boxed{\frac{30}{24} \frac{20}{24}}$ , then Jean-Luc takes longer than William.

Let us calculate the subtraction between these two fractions.

$\boxed{ \ 1\frac{1}{4} - \frac{5}{6} = \ ? \ }$

$\boxed{ \ = \frac{5}{4} - \frac{5}{6} \ }$

$\boxed{ \ = \frac{5 \times 6}{4 \times 6} - \frac{5 \times 4}{6 \times 4} = \ }$

$\boxed{ \ = \frac{30}{24} - \frac{20}{24} \ }$

$\boxed{ \ = \frac{30 - 20}{24} \ }$

$\boxed{ \ = \frac{10}{24} \ }$

Simplify it. The numerator and denominator are divided by two.

$\boxed{\boxed{ \ \frac{5}{12} \ }}$

Thus, Jean-Luc takes $\frac{5}{12}$ hours longer than William.

Learn moreWho mowed more of the lawn? How much of the lawn still needs to be mowed? How much water did Patrick drink altogether? Create and solve a story problem about two friends and their weekly allowance

Keywords: Jean-Luc jogged, around the lake, in 1 ¹/₄ hour, William, the same distance, in ⁵/₆, how much, longer, take than, in hours, least common multiple, LCM, ⁵/₁₂ hours

Answer from: Quest

step-by-step explanation:

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.