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The ratio between the speed of Pillu, Chillu, and Tillu is 5 ∶ 7 ∶ 4 respectively. The mean value of the speed of Pillu, Chillu, and Tillu is 48 km/hr together. What is the mean value of the speed of Pillu and Chillu?

The ratio between the speed of Pillu, Chillu, and Tillu is 5 ∶ 7 ∶ 4 respectively. The mean value of the speed of Pillu, Chillu, and Tillu is 48 km/hr together. What is the mean value of the speed of Pillu and Chillu? Correct Answer 54 km/hr

Given:

The ratio between the speed of Pillu, Chillu, and Tillu = 5 ∶ 7 ∶4

The mean speed of Pillu, Chillu, and Tillu = 48 km/hr

Formula used:

Average = Total sum of all numbers/number of items

Calculation:

The ratio between the speeds of Pillu, Chillu, and Tillu = 5 ∶ 7 ∶4

Then,

Let the speed of Pillu, Chillu, and Tillu be 5x Km/hr, 7x Km/hr, and 4x Km/hr respectively.

Then total speed of Pillu, Chillu, and Tillu

⇒ 5x + 7x + 4x = 16x km/hr      ----(i)

The average speed of Pillu, Chillu, and Tillu = 48 km/hr

So the total speed of Pillu, Chillu, and Tillu = 48 × 3 = 144 km/hr

Now by equation (i) and (ii), we get

⇒ 16x = 144

⇒ x = 9 km/hr

Now the speed of Pillu = 5x = 5 × 9 = 45 km/hr

And the speed of Chillu = 7x = 7 × 9 = 63 km/hr

Now to find the mean speed of Pillu and Chillu

⇒ (The speed of Pillu + the speed of Chillu)/2

⇒ (45 + 63)/2 = 108/2 = 54 km/hr

∴ The average speed of Pillu and Chillu is 54 km/hr

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