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Ruksana travelled at 60 km/h while going from point A to point B, and returned via the same route at a different speed. If
Ruksana’s overall average speed during the two-way journey was 48 km/h, what was her speed while travelling from B to A?
40 km/h
36 km/h
42 km/h
45 km/h
- Ruksana's average speed for the entire journey is given as 48 km/h.
- She traveled at 60 km/h from A to B.
- We need to find her speed on the return trip from B to A.
- We use the formula for average speed:
$$
\text{Average speed} = \frac{2ab}{a+b}
where \( a \) is the speed from A to B and \( b \) is the speed from B to A.
- Plugging in the values:
48 = \frac{2 \times 60 \times b}{60 + b}
- Solving for \( b \), we find \( b = 40 \) km/h.
- Thus, Ruksana's speed from B to A was 40 km/h.
Correct Answer: Option 1: 40 km/h
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By: santosh ProfileResourcesReport error
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