A) 46 km
B) 48 km
C) 50 km
D) 52 km
Correct Answer: C
Solution :
Let the distance be x km. |
Time taken by \[A=\frac{x}{40}\text{h}\] |
Time taken by \[B=\frac{x}{50}\text{h}\] |
Now, \[\frac{x}{40}-\frac{x}{50}=\frac{15}{60}=\frac{5x-4x}{200}=\frac{15}{60}\] |
\[\therefore \] \[x=\frac{15}{60}\times 200=50\,\,\text{km}\] |
\[\text{Distance=}\frac{\text{Product}\,\,\text{of}\,\,\text{speeds}}{\text{Distance}\,\,\text{of}\,\,\text{speeds}}\times \text{Difference}\,\,\text{in}\,\,\text{time}\] \[=\frac{40\times 50}{50-40}\times \frac{15}{60}=50\,\,\text{km}\] |
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