Proportional Reasoning - 2 | IT

Question 3

Convert 60,00,000 cm to kilometres.

It is 60 km. Verify this.

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Solution

We need to convert a length from centimetres to kilometres using standard unit conversions.

Step 1 — Convert centimetres to metres

First, let us convert the given length from centimetres to metres. We know that 1 metre (m) is equal to 100 centimetres (cm). So, to convert cm to m, we divide by 100.

60,00,000 cm=60,00,000100 m60,00,000 \text{ cm} = \frac{60,00,000}{100} \text{ m}

=60,000 m= 60,000 \text{ m}

60,000 metres\boxed{60,000 \text{ metres}}

Diagram 1

Step 2 — Convert metres to kilometres

Next, let us convert the length from metres to kilometres. We know that 1 kilometre (km) is equal to 1000 metres (m). So, to convert m to km, we divide by 1000.

60,000 m=60,0001000 km60,000 \text{ m} = \frac{60,000}{1000} \text{ km}

=60 km= 60 \text{ km}

60 kilometres\boxed{60 \text{ kilometres}}

Answer

(i) The length 60,00,000 cm is equal to 60 km. (ii) The given statement that it is 60 km is verified.

More questions in IT

Q1

Viswanath made idlis by mixing 6 cups of rice with 3 cups of urad dal, while Puneet made idlis by mixing 4 cups of rice with 2 cups of urad dal. If cooked in the same way, would their idlis taste the same?

Q2

Have you noticed that in many maps there is a ratio given, usually in the lower right corner of the map? It usually contains 1 and a very large number, such as 1 : 60,00,000. What does RF 1 : 60,00,000 mean? What does it indicate? Can you guess?

Q3

Convert 60,00,000 cm to kilometres.

It is 60 km. Verify this.

Q4

Using the map above, can you find the geographical distance between Bengaluru and Chennai? Also, find the geographical distance between Mangaluru and Chennai.

[Hint: Use a ruler to find the distance between the cities on the map. Then, use the ratio given on the map to find the actual geographical distance.]

Q5

Try to find the distances between the same two pairs of cities with different maps that have different scales (ratios). Do they all give the same geographical distance, approximately?

Q6

Context: Puneeth's father went from Lucknow to Kanpur in 3 hours by riding his motorcycle at a speed of 30 km/h. If he takes a car instead and drives at 60 km/h, how long will it take him to reach Kanpur?

Q. Can we represent this problem with the following statement of proportionality — 30 : 60 :: 3 : x? Will the travel time increase or decrease as the speed of the motorcycle increases?

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