A) 30 h
B) 6 h
C) 10 h
D) 15 h
Correct Answer: C
Solution :
A makes one complete round of the circular track in |
\[\frac{5}{2}=2\,\,\text{h}\] |
B in \[\frac{5}{3}\,\,\text{h}\]and C in \[\frac{5}{3}\,\,\text{h}\] |
That is after 2 h A is at the starting point, |
B after \[\frac{5}{3}\,\,\text{h}\]and C after \[\frac{5}{2}\text{h}\text{.}\] |
Hence, the required time = LCM of \[2h,\]\[\frac{5}{3}\,\,h\]and \[\frac{5}{2}\,\,\text{h}\] |
\[=\frac{\text{LCM}\,\,\text{of}\,\,\text{2,5,5}}{\text{HCF}\,\,\text{of}\,\text{3,2}}=\frac{10}{1}=10\,\text{h}\] |
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