A steamer and a motor boat cover the stretch between a seaport and a dock in 7 hours 20 minutes and ...........

Quantitative Aptitude (MTS) Boats and Streams

A steamer and a motor boat cover the stretch between a seaport and a dock in 7 hours 20 minutes and 10 hours 40 minutes,

respectively. What is the ratio of their speeds?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-3

15 : 11

3 : 2

16 : 11

8 : 5

- A steamer takes 7 hours and 20 minutes to travel between a seaport and a dock.

- Converting 7 hours and 20 minutes to hours gives 7 + 20/60 = 7.33 hours.

- A motorboat takes 10 hours and 40 minutes for the same journey.

- Converting 10 hours and 40 minutes to hours gives 10 + 40/60 = 10.67 hours.

- Speed is inversely proportional to time when distance is constant.

- To find the ratio of their speeds, use the formula: ratio of times = 10.67/7.33.

- Simplifying this gives approximately a ratio of 1.454 or 16:11.

Option 3: 16:11 is correct according to the calculations.

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