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The speed of A and B are in the ratio 3 : 4. A takes 20 minutes more than B to reach a destination. In what time does A reach the destination ?
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1 1 hours 3 - 2 hours
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2 2 hours 3 -
1 2 hours 3
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Correct Option: A
Ratio of speed = 3 : 4
Ratio of time taken = 4 : 3
Let the time taken by A and B be 4x hours and 3 x hours respectively.
| Then, 4x–3x = | ⇒ x = | ||
| 60 | 3 |
∴ Time taken by A = 4x hours
| = |  | 4 × |  | hours | |
| 3 |
| = 1 | hours | |
| 3 |
Second Method :
Here, S1 = 3x, S2 = 4x
| t2= y, t1 = y + | = y + | ||
| 60 | 3 |
S1t1 = S2t2
| 3x | | y + | | = 4xy | |
| 3 |
| ∴ Time taken by A = 1 + | = 1 | hours | ||
| 3 | 3 |
