Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

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  1. 18.36 km/h
  2. 43.50 km/h
  3. 16.38 km/h
  4. 15.25 km/h

Answer (Detailed Solution Below)

Option 3 : 16.38 km/h
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English Language (Matric Level) Sectional Test - 01
25 Qs. 50 Marks 12 Mins

Detailed Solution

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Given:

Distance covered by bicycle = 45 km

Speed while bicycling = 15 km/h

Distance covered by car = 80 km

Speed while driving = 40 km/h

Distance covered on foot = 6 km

Speed while on foot = 2 km/h

Formula Used:

Average speed = Total distance travelled / Total time taken

Calculation:

Total distance = 45 km + 80 km + 6 km

Total distance = 131 km

Time taken while bicycling = 45 km / 15 km/h

Time taken while bicycling = 3 hours

Time taken while driving = 80 km / 40 km/h

Time taken while driving = 2 hours

Time taken on foot = 6 km / 2 km/h

Time taken on foot = 3 hours

Total time = 3 hours + 2 hours + 3 hours

Total time = 8 hours

Average speed = Total distance / Total time

Average speed = 131 km / 8 hours

⇒ Average speed = 16.375 km/h

Average speed (correct to 2 decimal places) = 16.38 km/h

The average speed for the whole journey is 16.38 km/h.

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