| A boy goes to his school from his house at a speed of 3 km/h and returns at a speed of 2 km/h. If he takes 5 h in going and coming, the distance between his house and school is |
A) 6 km
B) 5 km
C) 5.5 km
D) 6.5 km
Correct Answer: A
Solution :
| Let required distance be x km. |
| Then, \[\frac{x}{3}+\frac{x}{2}=5\]\[\Rightarrow \]\[\frac{2x+3x}{6}=5\] |
| \[\Rightarrow \] \[5x=6\times 5\]\[\Rightarrow \]\[x=\frac{6\times 5}{5}=6\,km\] |
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