The speeds of rickshaw, car and scooter are in the ratio of 3 : 5 : 6.

Posted on 05-02-2023

Ques - The speeds of rickshaw, car and scooter are in the ratio of 3 : 5 : 6. What is the ratio of time taken by each one of them for the same distance ?

(a) 6 : 5 : 3

(b) 10 : 6 : 5

(c) 12 : 7 : 6

(d) Data insufficient

Solution -

Speed is always inversely proportional to time,

So,

S ∝ (1/t)

Therefore,

Ratio of speeds of rickshaw, car and scooter = 3 : 5 : 6

so,

Ratio of times takes

=(1/3) : (1/5) : (1/6)

Now,

Take the L.C.M of 3,5,6 = 30

Time taken by rickshaw = (1/3) \times 30

$= 10$

Time taken by car = (1/5) \times 30

$= 6$

Time taken by scooter = (1/6) \times 30

$= 5$

Thus,

The ratio of time taken by each one of them for the same distance is 10 : 6 : 5.

Hence,

The correct answer is option (b) 10 : 6 : 5.

Thank You

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