Mathematics, 05.04.2020 02:32, krocker58

Two cyclists start at the same corner and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 hours, they are 81 miles apart. Find the rate of each cyclist.

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Answers

The rate of one cyclist is 9 miles per hour and other cyclist is 18 hours per hour, if the two cyclists start at the same corner and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 hours, they are 81 miles apart.

Step-by-step explanation:

The given is,

Two cyclists start at the same corner and ride in opposite directions

One cyclist rides twice as fast as the other

In 3 hours, they are 81 miles apart

Step:1

Let, X - Rate of one cyclist

2X - Rate of other cyclist

( One cyclist rides twice as fast as the other )

Step:2

Formula to calculate rate of cyclist,

Distance between 2 cyclist = ( Rate of one cyclist + Rate of other cyclist ) (Hours)

.........................................(1)

From the given values,

81=(X +2X)(3)

81 = (3X )(3)

81=9X

$X=\frac{81}{9}$

= 9

X = 9

From the X value,

Rate of one cyclist, X = 9 miles per hour

Rate of other cyclist, 2X = 2 × 9

= 18

Rate of other cyclist, 2X = 18 miles per hour

Step:3

Check for solution,

Distance covered by one cyclist = Rate of cyclist × Hours

= 9 × 3 = 27 miles

Distance covered by other cyclist = Rate of cyclist × Hours

= 18 × 3 = 54 miles

From equation (1),

81 = 27 + 54

81 = 81

Result:

answered: Guest

answer: give more info

step-by-step explanation:

answered: Guest

step-by-step explanation:

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Two cyclists start at the same corner and ride in opposite directions. One cyclist rides twice as fa...