Arithmetic

Time, Speed & Distance

Medium

Figure for IPMAT Rohtak 2019 QA question 2 (Arithmetic)

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 the same in upstream as in downstream)

25 kmph

18 kmph

20 kmph

15 kmph

✅ Correct Option: 1

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 $= 16\% \text{ of } 4800 = 768 \text{ km}$

Distance covered Downstream $= 14\% \text{ of } 2400 = 336 \text{ km}$

Let time taken to cover downstream be - $t \text{ hrs}$

Then, time taken to cover upstream will be - $t + 27.2 \text{ hrs}$

On Monday, Speed of still water(stream) $= W = 5 \text{ kmph}$

$U = B - 5$

$D = B + 5$

$D-U = B + 5 - (B - 5) = 10 \text{ kmph}$

Also, $D = \frac{336}{t}$

Also, $U = \frac{768}{t+27.2}$

$D - U = 10 \text{ kmph}$

$\frac{336}{t} - \frac{768}{t+27.2} = 10$

$10t + 704t - 9139.2 = 0$

$t = 11.2 \text{ hours}$

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

Also, $D = B + 5$

$B + 5 = 30$

$B = 25 \text{ kmph}$

Therefore, the speed of boat in still water on Monday is - $25 \text{ kmph}$

IPMAT Rohtak 2019

If the time taken by boat to travel upstream on Wednesday is $\frac{6}{7}$ times the time taken to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph, then find the speed of boat in still water on Wednesday? (Speed of boat in still water is different for different days)

IPMAT Rohtak 2020

Guru and Chela walk around a circular path of 115 km in circumference, they start together from the same point. If they walk at speed of 4 and 5 kmph respectively, also they walk in the same direction, when will they meet?

IPMAT Rohtak 2020

In a 1000 meter race Rishi beats Koustab by 50 meters. In the same race, by what time margin Koustab beat Pandey who runs at 4 meter per second?(Since data is insufficient, this question was cancelled)

IPMAT Rohtak 2019

If the speed of boat in still water on Saturday was 27 km/hr and the speed of boat in still water on Wednesday was $66 \frac{2}{3}\%$ more than that of Saturday and time taken to travel upstream on Wednesday is $\frac{16}{13}$ times than time taken by it to travel downstream on Saturday, then find the speed of stream (in kmph) on Saturday?

IPMAT Rohtak 2019

Train A takes 45 minutes more than train B to travel 450 km. Due to engine trouble, the speed of train B falls by a quarter. So it takes 30 minutes more than Train A to complete the same journey. Find the speed of Train A.

IPMAT Rohtak 2019

The speed of boat in still water on Saturday was 21 km/hr, and that on Sunday was $28 \frac{4}{7}\%$ more than that on Saturday. If the time taken by boat to travel upstream on Saturday is $2\frac{1}{2}$ times the time taken to travel downstream on Sunday, then find the time taken by the boat to cover a distance of 125 km upstream on Saturday?

If the time taken by boat to travel upstream on Monday is 271527 \frac{1}{5}2751​ 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 the same in upstream as in downstream)

Solution

Related questions:

Keyboard Shortcuts

IPMAT Rohtak Past Year Questions (Topic-Wise)

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 the same in upstream as in downstream)