Question

The speeds of three cars are in the ratio of 3 : 4 :5 find the ratio of the time taken by them to travel the same distance.

Answer 1

Hope it helps...........

Answer 2

Answer:

$Ratio \: of \: time \: taken \: \\by \: three \: cars =20:15:12$

Step-by-step explanation:

Given , Speeds of three cars are in the ratio = 3:4:5

Let Speed of first car = 3s

Speed of second car = 4s

Speed of third car = 5s

Let Distance travelled by 3 cars = d

$We \: know \: that \\\boxed {Time = \frac{distance}{speed}}$

$Ratio \: of \: time \: taken \:\\ by \: three \: cars = \frac{d}{3s}:\frac{d}{4s}:\frac{d}{5s}\\=\frac{1}{3}:\frac{1}{4}:\frac{1}{5}$

LCM of 3,4 and 5 = 60

$=\frac{60}{3}:\frac{60}{4}:\frac{60}{5}\\=20:15:12$

Therefore,

$Ratio \: of \: time \: taken \:\\ by \: three \: cars =20:15:12$

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