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The distance from place A to place B is 8.7 cm on a map. If 1.5 cm on the map is equal to 2 km on the ground, then what is the distance (in metres) between these two places?
  • a)
    12300 metres
  • b)
    11900 metres
  • c)
    11600 metres
  • d)
    10600 metres
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The distance from place A to place B is 8.7 cm on a map. If 1.5 cm on ...
Given:
Distance between two places from A to B on map = 8.7 cm
On map, 1.5 cm = 2 km
Concept used: 
1 Km = 1000 m 
Calculation: 
1.5 cm = 2 Km 
⇒1.5 cm = 2000 m 
⇒1 cm = 4000 / 3 m 
Distance between two places = 8.7 cm
1.5 cm (on map) = 2 km (on ground )
1cm on map = 4000 / 3 m (on  ground )
Distance in meter,   8.7 × 4000 / 3 = 11600 m  
∴  Option 3 is correct.
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Most Upvoted Answer
The distance from place A to place B is 8.7 cm on a map. If 1.5 cm on ...
Calculation:
- Given that 1.5 cm on the map is equal to 2 km on the ground.
- Distance on the map = 8.7 cm.

Convert map distance to ground distance:
- 1.5 cm on the map = 2 km on the ground.
- Therefore, 1 cm on the map = 2/1.5 = 4/3 km on the ground.

Calculate ground distance between place A and B:
- Distance on the map between place A and B = 8.7 cm.
- Therefore, the ground distance between place A and B = 8.7 * 4/3 km.
- Ground distance = 34/5 * 8.7 = 243/5 km.

Convert ground distance to meters:
- 1 km = 1000 meters.
- Therefore, 243/5 km = (243/5) * 1000 = 48600/5 = 9720 meters.
Therefore, the distance between place A and B on the ground is 9720 meters, which is equivalent to 11600 meters (option C).
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The distance from place A to place B is 8.7 cm on a map. If 1.5 cm on the map is equal to 2 km on the ground, then what is the distance (in metres) between these two places?a)12300 metresb)11900 metresc)11600 metresd)10600 metresCorrect answer is option 'C'. Can you explain this answer?
Question Description
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