Mathematics
NULL
Medium
Question
Asghar went to office at 10 km/h and returned at 9 km/h. Rohit did the same route both ways at 12 km/h and took 10 minutes less. Find the house–office distance.
A
3000m
B
7500m
C
3750m
✓ Official correct answer
D
7000m
Community credibility
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A
3000m
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B
7500m
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C
3750m
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D
7000m
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Explanation
Asghar's time = d/10 + d/9 = 19d/90; Rohit = 2d/12 = d/6. Difference 1/6 hour: 19d/90 − d/6 = 1/6 ⇒ 4d/90 = 1/6 ⇒ d = 3.75 km = 3750 m.