The speed of a boat downstream is 2 5 times the speed of the boat upstream If the time taken by the ...........

Quantitative Aptitude (MTS) Boats and Streams

The speed of a boat downstream is 2.5 times the speed of the boat upstream. If the time taken by the boat for going 30 km

downstream and the same distance upstream is 7 hours, then what is the speed (in km/h) of the boat downstream?

This questions was previously asked in

SSC MTS 27th October 2021 Shift-2

12.5

7.5

- The problem involves a boat traveling both downstream and upstream.

- Downstream speed is 2.5 times the upstream speed.

- The boat travels 30 km downstream and 30 km upstream in a total of 7 hours.

- Let's denote the upstream speed as "x".

- Thus, downstream speed is "2.5x".

- The time equation is: \( \frac{30}{2.5x} + \frac{30}{x} = 7 \).

- Solving this equation will provide the value of x.

- Substitute and calculate to find the downstream speed as "2.5x".

Now, let's check the options:

- Option 1: 12.5 ? Not correct, does not match calculations.

- Option 2: 9 ? Not correct, does not match calculations.

- Option 3: 15 ? This is correct based on calculations.

- Option 4: 7.5 ? Not correct, does not match calculations.

Answer: Option 3, 15 is correct.

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