IPM Question Paper 2019 | IPM Rohtak Quantitative Aptitude

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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 5 : If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday? (speed of boat in still water is different on different days)

1. 27 kmph
2. 22 kmph
3. 20 kmph
4. 25 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

B_fri = 17kmph
W_fri= 1kmph
W_wed = 6kmph

Distance travelled upstream on Friday = 14% of 4800 = 672 km
Upstream speed in Friday U_fri = B_fri – W_fri = 17-1 = 16kmph

Time taken to travel upstream on Friday = \\frac{672}{16}\\) = 42 hrs.

Distance travelled downstream on Wednesday = 11% of 2400 = 264 km
Time taken to travel downstream on Wednesday = 42-30 = 12 hrs.
Downstream speed in Wednesday D_wed = \\frac{264}{12}\\) = 22kmph

Also D_wed = B_wed + W_wed = 22kmph
B_wed = 22 – W_wed
B_wed = 22 – 6 = 16kmph.

Upstream speed of boat on Wednesday = B_wed – W_wed = 16 – 6 = 10kmph.

The question is "If the time taken by boat to travel upstream on Friday is 30 hours more than the time taken by it to travel downstream on Wednesday and the speed of boat in still water on Friday is 17 kmph, then find the upstream speed of boat on Wednesday? (speed of boat in still water is different on different days)"

Hence, the answer is None of these

Choice E is the correct answer

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