A boat takes 16 minutes and 24 minutes to cover a certain distance downstream and upstream respectiv...........

Quantitative Aptitude (MTS) Boats and Streams

A boat takes 16 minutes and 24 minutes to cover a certain distance downstream and upstream, respectively. If the speed of

the boat in still water is 15 km/h, find the speed of the stream.

This questions was previously asked in

SSC MTS 5th July 2022 Shift-1

2.5 km/h

3 kn h

5 km/h

2 km/h

- The boat takes 16 minutes downstream and 24 minutes upstream to cover the same distance.

- Let the speed of the stream be x km/h.

- Speed downstream = (15 + x) km/h, speed upstream = (15 - x) km/h.

- Time = distance/speed:

Distance downstream = (15 + x) × (16/60)

Distance upstream = (15 - x) × (24/60)

Both distances are equal:

- (15 + x)(16/60) = (15 - x)(24/60)

- (15 + x) × 16 = (15 - x) × 24

- 16(15 + x) = 24(15 - x)

- 240 + 16x = 360 - 24x

- 16x + 24x = 360 - 240

- 40x = 120

- x = 3 km/h

Correct Option:

Option 2: 3 km/h

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