A boat running upstream takes 10 hours to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and that of the water current, respectively?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 3)
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  1. 17 ∶ 5
  2. 3 ∶ 17
  3. 2 ∶ 17
  4. 17 ∶ 3

Answer (Detailed Solution Below)

Option 4 : 17 ∶ 3
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Detailed Solution

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Given:

Time taken to cover the upstream distance = 10 hours

Time taken to cover the downstream distance = 7 hours

Concept used:

If distance is constant then,

Speed ∝ (1/time)

Calculation:

Distance is constant, so

Time taken for upstream : time taken for downstream = 10 : 7

Speed for upstream : Speed for downstream = 7 : 10

Now,

Speed of boat : speed of stream = (10 + 7)/2 : (10 - 7)/2

⇒ 17 : 3

∴ The correct option is 4.

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