Question

Three cars travel same distance with speeds in the ratio 2 : 4 : 7. what is the ratio of the times taken by them to cover the distance?

Answer 1

time taken is 1/2:1/4:1/7

Answer 2

Answer:

$\frac{1}{2}:\frac{1}{4}:\frac{1}{7}$

Step-by-step explanation:

Let the distance be y

We are given that Three cars travel same distance with speeds in the ratio 2 : 4 : 7.

Let the ratio be x

So, Speeds are 2x ,4x and 7x

So, Time = $\frac{Distance}{Speed}$

Time for car 1  $\frac{y}{2x}$

Time for car 2  $\frac{y}{4x}$

Time for car 13  $\frac{y}{7x}$

So, The ratio of the times =$\frac{y}{2x}:\frac{y}{4x}:\frac{y}{7x}$

                                          =$\frac{1}{2}:\frac{1}{4}:\frac{1}{7}$

Hence  the ratio of the times taken by them to cover the distance  $\frac{1}{2}:\frac{1}{4}:\frac{1}{7}$