Question

Three persons are waling from a place A to
another place B. Their speeds are in the
ratio of 4:3:5. The time ratio to reach B by
these persons will be :​

Answer 1

Given :--

• Speed of Three person = 4 : 3 : 5

To Find :-

• Ratio of Time taken by Them ?

Concept used :-

• When the distance is constant, then speed is inversely proportional to time.

Solution :-

From above Told concept we can say That , when ratio of Speed is a : b : c, Than , Ratio of Time becomes (1/a) : (1/b) : (1/c).

So,

→ 4 : 3 : 5

→ (1/4) : (1/3) : (1/5)

Taking LCM of Denominator = 60

Making Denominator same Now,

→ (1/4 * 15/15) : (1/3 * 20/20) : (1/5 * 12/12)

→ (15/60) : (20/60) : (12/60)

→ 15 : 20 : 12 (Ans).

Hence , Ratio of Time will be 15:20:12.

Answer 2

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Three persons are waling from a place A to another place B. Their speeds are in the ratio of 4:3:5. The time ratio to reach B by these persons will be :

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Given -

speed of three persons in ratio= 4 : 3 :5

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To find -

The ratio when these people reach B

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Solving-

We can say that when ratio of speed is a : b : c .

Than,Ratio of Time be , (1/a):(1/b):(1/c)

So, we can also say that ➠ 4 : 3 : 5 = (1/4):(1/3):(1/5)

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The LCM of denominators i.e, 3,4,5 is 60

hence, the fractions might be

➠(1/4×15/15) : ( 1/3×20/20) : (1/5 × 12/12)

➠(15/60) : (20/60) : (12/60)

➠15 : 20 : 12

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The ratio might be 15:20:12 at the time reaching the point B

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