Boat B covered 756 km downstream on Monday for which it took 6 hours less than that in which it cove...........

Quantitative Aptitude ( CCS) Boats and Streams

Direction : Study the following bar graph and answer the questions that follow:

Boat B covered 756 km downstream on Monday for which it took 6 hours less than that in which it covered half distance upstream on Tuesday. On Tuesday, speed of stream was 2 km/hr more than that on Monday. Find the downstream speed of boat B on Tuesday.

21 km/hr

19 km/hr

23 km/hr

11 km/hr

15 km/hr

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Explanation:

Let on Monday, speed of stream is x km/hr, then on Tuesday it is (x+2) km/hr
On Monday it covered 756 km, so on Tuesday it covered 756/2 = 378 km
So 756/(16+x) = 378/(16-(x+2)) – 6 ………………(1)
126/(16+x) = 63/(14-x) – 1
OR SOlve with options in
378/[16 -(y+2 )] – 756/(16+y )=6
63 [1/(14-y) – 2/(16+y) ] = 1
Solve, x = 5 km/hr
So speed of stream on Tuesday = (5+2) = 7 km/hr
So downstream speed of boat B = (16+7) = 23 km/hr

Hence, option 3 is the correct answer.