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Directions: Study the following information carefully and answer the questions given beside:

Four friends, Priyanka, Pinki, Rinki, and Munni start travelling towards a certain distance from the same point and at the same time. The following four pie charts give the information about the percentage of the total distance travelled by them in five different modes of tarvellling i.e on foot, bicycle, Bike, Car and Rickshaw. Each one travels a different distance in the same time.
 
Priyanka



Pinki



Rinki



Munni



The following table provides information about the distance (in km) travelled by each of them on foot as a percentage of the sum of the total distance travelled by them on foot.
 
  Priyanka     Pinki     Rinki     Munni  
20% 30% 25% 25%
1
For who among the following, the distance travelled by her was the least?
» Explain it
C
the total distance travelled by them on foot = x km

The total distance travelled by Priyanka on foot = 20% of x

=  x  km = 16% of the total distance travelled by her
5

x  = 16% of the total distance travelled by Priyanka
5

By, solving

The total distance travelled by Priyanka =  5x  = 1.25 x km
4
Similarly, the total distance travelled by Pinki = 2x km
 
The total distance travelled by Rinki = 25 ×  x  = 1.14x km
22

The total distance travelled by Munni =  5x  = 1.25x km
4
Required answer = Rinki

Hence, option C is correct.
 
2
If the average speed of Priyanka is 45 km/hr and the distance travelled by her on foot is 36 km. Find the difference between the average speed of Priyanka and the average speed of Munni?
» Explain it
E
The distance travelled by Priyanka on foot = 16% of the total distance = 36 km

The total distance travelled by Priyanka = 225 km

Average speed = 45 km/hr, 

Total time =  225  = 5 hours............(i)
45
 


From the table, 36 km = 20% of the total distance travelled by all of them on foot

The total distance travelled by Munni on foot = 25% of the total distance travelled by all of them on foot

Since, 20% = 36 therefore, 
 

25% = 36 ×  25  = 45 km
20
 


From the pie chart, 45 km = 20% of the total distance travelled by Munni

The total distance travelled by Munni

= 45 ×  100  = 225 km
20

In the question, it is given that each of them takes equal time, so from the equation (i) even Munni will take 5 hours
 
Average speed of Munni =  225  = 45 km/hr
5

Required difference = 45 – 45 = 0 km/hr

Hence, option E is correct.
3
Suppose Pinki starts 1hour later than all other three start their journey but Priyanka and Pinki complete their respective distance at the same time. The total distance travelled by all of them on foot is 250 km. Find the respective ratio of the average speed of Priyanka and Pinki in this case?
» Explain it
E
Let the time taken by Pinki = x hours

Then according to the question, the time taken by Priyanka = x + 1 hours

Now, For Priyanka

20% of the total distance travelled by all of them on foot = 16% of the total distance

travelled by Priyanka

20% of 250 = 16% of the total distance travelled by Priyanka

By solving, the total distance travelled by Priyanka = 312.5 km

Average speed =  312.5  km/hr
(x + 1)

Similarly for Pinki,

30% of the total distance travelled by all of them on foot = 15% of the total distance

travelled by Pinki

30% of 250 = 15% of the total distance travelled by Pinki By solving, the total

distance travelled by Pinki = 500 km

Average speed =  500  km/hr
x

Required Ratio =  312.5  km/hr :  500  km/hr
(x + 1) x

Since it is not possibe to determine the value of x so ratio can't be determined

Hence, option E is correct.
 
4
If the total distance travelled by all of them on foot is 300 km. Find the sum of the total distance travelled by all of them by car and by rickshaw? (approximately) 
» Explain it
A
The total distance travelled by all of them on foot is 300 km

For Priyanka,

The total distance travelled by Priyanka on foot = 20% of the total distance travelled by all of them on foot = 20% of 300 = 60 km

16% of the total distance travelled by Priyanka = 60 km

The total distance travelled by Priyanka by car and by rickshaw = (18 + 24) % of the total distance 16% = 60 so the value of 42%

= 60 ×  42  = 157.5 km
16

Similarly, For Pinki,

30% of 300 = 15% of the total distance travelled by her

15% = 90 So, (20 + 15)% = 35%

= 90 ×  35  = 210 km
15
For Rinki,

25% of 300 = 22% of the total distance travelled by her 22% = 75 km

So, (19 + 16)% = 35%
= 75 ×  35  = 119.32 km
22

For Munni,

25% of 300 = 20% of the total distance travelled by her 20% = 75 km

So, (26 + 18)% = 44%
= 75 ×  44  = 165 km
20

The required sum = 157.5 + 210 + 119.32 + 165 = 651.82 km

Hence, option A is correct.
 
5
Each of the two girls Rinki and Munni starts their journey at 10: 30 AM but Munni take 1-hour rest in the middle of the journey but each of them reaches their respective distance at 00:30 AM on the next day. Find the ratio of the respective average speed of Rinki and Munni? (It is given that the average of the total distance travelled by Priyanka and Pinki together on foot is 125 km) 
» Explain it
A
The sum of the total distance travelled by Priyanka and Pinki together on foot is 125 × 2 = 250 km

From the data table, the sum of the total distance travelled by Priyanka and Pinki together on foot = (20 + 30) % of the total distance travelled by all of them on foot

50% of the total distance travelled by all of them on foot = 250 km

the total distance travelled by all of them on foot

= 250 ×  100  = 500 km
50

the total distance travelled by Rinki on foot = 25% of 500 = 125 km = 22% of the total distance travelled by her 22% of the total distance = 125

Total distance = 125 ×  100
22

Total time taken by her = 14 hrs

Speed =  (125 × 100)  km/hr
(14 × 22)

the total distance travelled by Munni on foot = 25% of 500 = 125 km = 20% of the total distance travelled by her 20% of the total distance = 125

Total distance = 125 ×  100
20

Total time taken by her = 14 hrs

Speed =  (125 × 100)
(20 × 14)

The required Ratio =  (125 × 100)  :  (125 × 100)  = 10 : 11
(14 × 22) (14 × 20)
Hence, option A is correct.
 
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