Rani lives in a town which is 35 km 228 m away from Kolkata. Ria's town is 37 km away from Kolkata. If Ria comes to visit Kolkata and then goes to visit Rani, how much distance will she cover totally?

Category: Miscellaneous Indian Gk

Hint: Convert all distances to meters, add them, and then convert back to kilometers and meters.

Correct Answer: D) 72 km 228 m.

Exam Relevance: CBSE, ICSE, State Board Exams, Competitive Exams

Difficulty: Easy

Explanations:

To solve this problem, we need to calculate the total distance Ria will cover when she travels from her town to Kolkata and then from Kolkata to Rani's town. The distances are given in kilometers and meters, so we need to convert them to a common unit, perform the addition, and then convert back to the original units.

First, let's convert the distances to meters. Rani's town is 35 km 228 m away from Kolkata. Since 1 km = 1000 m, we can convert 35 km to meters as follows:

35 km = 35 × 1000 m = 35000 m

Adding the 228 m, the total distance from Rani's town to Kolkata is:

35000 m + 228 m = 35228 m

Ria's town is 37 km away from Kolkata. Converting 37 km to meters:

37 km = 37 × 1000 m = 37000 m

Now, we add the distances Ria travels:

37000 m (from Ria's town to Kolkata) + 35228 m (from Kolkata to Rani's town) = 72228 m

Next, we convert the total distance back to kilometers and meters. Since 1 km = 1000 m, we divide 72228 m by 1000 to get the kilometers:

72228 m ÷ 1000 = 72 km and 228 m

Therefore, the total distance Ria will cover is 72 km 228 m, which corresponds to option D.

This problem demonstrates the importance of unit conversion and the need to ensure that all measurements are in the same unit before performing arithmetic operations. It also highlights the process of converting back to the original units after performing the necessary calculations.

Option Analysis:

Option A: This option is incorrect because it does not account for the full distance Ria travels. The distance should be the sum of the distances from Ria's town to Kolkata and from Kolkata to Rani's town, which is more than 35 km 265 m.
Option B: This option is incorrect because it represents the difference in distance between Ria's and Rani's towns from Kolkata, not the total distance Ria travels. The total distance should be the sum of the distances, not the difference.
Option C: This option is incorrect because it does not correctly convert the total distance back to kilometers and meters. The correct conversion should yield 72 km 228 m, not 71 km 772 m.
Option D: This option is correct because it accurately represents the total distance Ria travels, which is the sum of the distances from Ria's town to Kolkata and from Kolkata to Rani's town, converted back to kilometers and meters.

Mnemonic: Kilometers to meters: "Kilometers to meters, multiply by a thousand, remember that's the key."

Back to Miscellaneous Indian Gk set 183 – Practice all questions