Question

Find the ratio of speed of a,b and c if for every 11 steps taken by a,b takes 12 steps and c takes 14 steps. Also 12 steps of a are equal to 14 steps of b and 16 steps of c.

Answer 1

Answer:

Step-by-step explanation:

Let x,y and z is length of each step of a,b and c

11x=12y

y=11x/12-----------(1)

11x=14z

z=11x/14-----(2)

y:z=11x/12:11x/14=1/12:1/14=14:12=7:6

x:y:z=x:11x/12:11x/14

=1:11/12:11/14

x:y:z=84:77:66

Answer 2

The answer is 154:144:147.

Given:

For every 11 steps taken by a,b takes 12 steps and c takes 14 steps.

12 steps of a are equal to 14 steps of b and 16 steps of c.

To Find:

The ratio of the speed of a:b:c

The ratio of the speeds will be proportional to the distance travelled by a,b, and c in the same amount of time.

The ratio of steps taken is 11:12:14.

The ratio of the length of the steps is $\frac{1}{12} :\frac{1}{14} :\frac{1}{16}=28:24:21$

Hence the ratio of their speeds will be the multiplication of these two ratios.

11:12:14 × 28:24:21 = 308:288:294 = 154:144:147

The ratio of the speed of a, b and c is 154:144:147.

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