IPM Question Paper 2019 | IPM Rohtak Quantitative Aptitude

IPMAT 2019 Question Paper IPM Rohtak Quantitative Aptitude. Solve questions from IPMAT 2019 Question paper from IPM Rohtak and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Question papers, go here: IPM Sample Paper

Directions: Study the data given below and answer the following questions. The pie charts shown below shows the distance covered by a boat moving upstream and downstream indifferent days of a week. And the table shows the speed of stream in km/hr. in different days of a week.

Question 2 : If the time taken by boat to travel upstream on Monday is 27\\frac{1}{5}\\) hrs. more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday ?(speed of boat in still water is same in upstream as in downstream)

1. 25 kmph
2. 18 kmph
3. 20 kmph
4. 15 kmph
5. None of these

Explanatory Answer

Let speed of the boat Upstream be U.
Speed of the boat Downstream be D.
Speed of boat in still water be B.
Speed of the stream be W.

U = B – W
D = B + W

On Monday distance covered Upstream = 16% of 4800 = 768km
Distance covered Downstream = 14% of 2400 = 336km

Let time taken to cover downstream be t hrs.
Then, time taken to cover upstream will be t+ 27 \\frac{1}{5}\\) hrs.

On Monday, Speed of still water(stream) = W = 5kmph.

U = B – 5
D = B + 5

D-U = B + 5 – B + 5 = 10 kmph.

Also D = \\frac{336}{t}\\)
and U = \\frac{768}{t+27.2}\\)

D – U = 10 kmph

\\frac{336}{t}\\) – \\frac{768}{t+27.2}\\) = 10

10t² + 704t - 9139.2 = 0

t = 11.2 hours or t = -81.6
Since, time can’t be negative, t = 11.2 hours

So, D = \\frac{336}{11.2}\\) = 30kmph

Also, D = B + 5
B + 5 = 30

B = 25kmph

Therefore, the speed of boat in still water on Monday is 25kmph.

The question is "If the time taken by boat to travel upstream on Monday is 27\\frac{1}{5}\\) hrs. more than the time taken by it to travel downstream on the same day, then find the speed of boat in still water on Monday ?(speed of boat in still water is same in upstream as in downstream)"

Hence, the answer is 25 kmph

Choice A is the correct answer

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