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A bus moving along a straight highway from point P to point Q at a distance of 3 km (from P) then to point R at a distance of 5 km from Q and then to point S at a distance of 7 km from point R, then back to point Q and finally to the point R (all via the same path). Find the distance travelled by bus in km.

Question

A bus moving along a straight highway from point P to point Q at a distance of 3 km (from P) then to point R at a distance of 5 km from Q and then to point S at a distance of 7 km from point R, then back to point Q and finally to the point R (all via the same path). Find the distance travelled by bus in km.

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Solution

To find the distance traveled by the bus, we need to calculate the total distance covered from point P to point Q, then to point R, then to point S, back to point Q, and finally to point R.

  1. Distance from P to Q: The bus travels a distance of 3 km from point P to point Q.

  2. Distance from Q to R: The bus travels a distance of 5 km from point Q to point R.

  3. Distance from R to S: The bus travels a distance of 7 km from point R to point S.

  4. Distance from S to Q: The bus travels back from point S to point Q, covering the same path. Therefore, the distance traveled is 7 km.

  5. Distance from Q to R: The bus travels again from point Q to point R, covering the same path. Therefore, the distance traveled is 5 km.

Adding up all the distances, we have:

3 km + 5 km + 7 km + 7 km + 5 km = 27 km

Therefore, the bus travels a total distance of 27 km.

This problem has been solved

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