| The ratio of the speeds of A and B is 3: 4. A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place. |
A) 40 min and 30 min
B) 80 min and 60 min
C) 90 min and 45 min
D) 90 min and 50 min
E) None of the above
Correct Answer: B
Solution :
| Ratio of speeds of A and B \[=3:4\] |
| \[\therefore \]Ratio of time taken \[=4:3\] |
| Let time taken by A and B be \[4x\] and \[3x,\]respectively. |
| Then, according to the question, |
| \[4x-3x=20\]\[\Rightarrow \]\[x=20\] |
| Hence, time taken by \[A=4\times 20=80\min \] |
| and time taken by\[B=3\times 20=60\min \] |
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