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Raktim covered a distance from village A to B on car at 28 km/hr. However he covered the distance from B to A on foot at 4 km/hr. What is his average speed in the whole journey?
22 km/hr
7 km/hr
8 km/h
10 km/h
None of these
- To calculate average speed, divide the total distance by the total time.
- Let the one-way distance between village A and B be "D" kilometers.
- Time taken on car from A to B = \( \frac{D}{28} \) hours.
- Time taken on foot from B to A = \( \frac{D}{4} \) hours.
- Total distance covered = \( 2D \) kilometers.
- Total time taken = \( \frac{D}{28} + \frac{D}{4} \) hours.
- Simplify the total time:
$$
\frac{D}{28} + \frac{D}{4} = \frac{D}{28} + \frac{7D}{28} = \frac{8D}{28} = \frac{2D}{7}
- Average speed = \( \frac{2D}{\frac{2D}{7}} = 7 \) km/hr.
- The correct answer is Option 2: 7 km/hr.
By: Parvesh Mehta ProfileResourcesReport error
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