Study the given bar-graph and answer the question the follows.

The bar-graph shows the distance (in km) between two cities and speeds (in km/h) of a person to cover the respective distances.

F1 Mamata SSC 28.11.22 G1

What is the approximate average speed of the person while travelling from city A to city F?

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SSC MTS Previous Year Paper (Held on: 14 July 2022 Shift 3)
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  1. 28.55 km/h
  2. 23.91 km/h
  3. 21.78 km/h
  4. 19.47 km/h

Answer (Detailed Solution Below)

Option 3 : 21.78 km/h
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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Given:

The bar graph representing the distance between two cities and the speed of person to cover the distance.

F1 Mamata SSC 28.11.22 G1

Formula used:

Time = Distance/speed

Calculations:

Time taken in covering the distance A-B is

= 80/16 = 5 h

Time taken in covering the distance B-C is

= 120/40 = 3 h

Time taken in covering the distance C-D is

= 90/20 = 4.5 h

Time taken in covering the distance D-E is

= 60/30 = 2 h

Time taken in covering the distance E-F is

= 42/12 = 3.5 h 

Now, Total distance from A to F = 80 + 120 + 90 + 60 + 42 = 392 Km

Total time taken to cover A-F = 5 + 3 + 4.5 + 2 + 3.5 = 18 h

So, Average Speed

= Total distance/ Total time taken

= 392/18

= 21.77...... ~ 21.78 Km/h

Hence, The average speed is 21.78 Km/h.

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