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A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km
upstream and 24 km down stream in 6 1 hours. The speed of the current is 2
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- 1 km/hr
- 2 km/hr
- 1.5 km/hr
- 2.5 km/hr
- 1 km/hr
Correct Option: B
Let speed of boat in still water = p kmph
and speed of current = q kmph
| ∴ | + | = 6........(i) | ||
| p - q | p + q |
| and | + | = | ........(ii) | |||
| p + q | p - q | 2 |
By equation (i) × 2 – equation (ii) × 3, we have
| - | = 12 - | |||
| p - q | p + q | 2 |
| ⇒ | = | ||
| p - q | 2 |
⇒ p – q = 8 ...... (iii)
By equation (i) × 3 – equation (ii) × 2, we have
| - | = 18 - 13 | ||
| p + q | p + q |
| ⇒ | = 5 | |
| p + q |
⇒ p + q = 12 ..... (iv)
From equation (iv) – (iii),
we have , ( p + q ) – ( p - q ) = 12 – 8
⇒ p + q – p + q = 12 – 8
⇒ 2q = 4 ⇒ q = 2 kmph