IPMAT 2020 Sample Paper IPM Rohtak Quantitative Aptitude. Solve questions from IPMAT 2020 Sample 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 Sample 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)

- 25 kmph
- 18 kmph
- 20 kmph
- 15 kmph
- None of these

25 kmph

Buy CAT'21 95-99 Booster Course for just

Valid until 19th Sep

Online Batches Available Now!

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

10t^{2} + 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)" **

Choice A is the correct answer

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

**Phone:** (91) 44 4505 8484

**Mobile:** (91) 99626 48484 / 94459 38484

**WhatsApp:** WhatsApp Now

**Email: **info@2iim.com