   Direcitons: Study the following bar chart and table chart carefully and answer the questions given beside.

The given bar graph shows the speed (in km/h) of 2 persons while travelling by different vehicles. The following table shows the percentage of distance traveled by both the persons A and B by different vehicles.

 Vehicles Person A Person B Car 24% 25% Bus 18% 21% Train 27% 23% Bicycle 20% 16% On foot 11% 15%
Important for :
1
If person A travels 432 km by train, then what is the total time taken by person A to travel by bus and bicycle together?
» Explain it
B
Let total distance travelled by person A = X km

 ⇒ Given, X × 27 = 432 100

⇒ X = 1600 km

Total time taken by person A to travel by bus and by bicycle:
 ⇒ 1600 × 18 + 1600 × 20 45 × 100 25 × 100

⇒ 6.4 + 12.8

⇒ 19.2 hours

Hence, option (B) is correct.

2
If person B completes his journey by bus in 4 hours, then what is the total distance travelled by person B in his whole journey (approx)?
» Explain it
D
Let the total distance travelled by person B = Y km

The distance travelled by bus by person B = 55 × 4 = 220 km

 Then, Y × 21 = 220 100

 ⇒ Y = 220 × 100 21

⇒ Y = 1048 km (approx)

Hence, option (D) is correct.

3
If person A travelled 242 km on foot and person B travelled 625 km by car. Then what will be the difference between time taken by them to complete their journey by bus?
» Explain it
C
Let total distance travelled by person A = X km

And total distance travelled by person B = Y km

According to question –

 ⇒ X × 11 = 242 100

⇒ X = 2200 km

And,

 ⇒ Y × 25 = 625 100

⇒ Y = 2500 km

Distance travelled by bus by person A
 = 2200 × 18 = 396 km 100

Time taken by person A to complete his journey by bus
 = 396 = 8.8 hours 45

Distance travelled by bus by person B
 = 2500 × 21 = 525 km 100

Time taken by person B to complete his journey by bus
 = 525 = 9.545454 = 9.5 hours (approx) 55

Required difference = 9.5 – 8.8 = 0.7 hours

Hence, option (C) is correct.

4
What is the total time taken by person A (approximately) during his whole journey if he completes his journey on foot in 5.5 hours?
» Explain it
B
Let total distance travelled by person A during his whole journey = X km

Now distance travelled by person A on foot = 10 × 5.5 = 55 km

From question –

 ⇒ X × 11 = 55 100
⇒ X = 500 km
 Distance travelled by person A by car = 500 × 24 = 120 km 100

 Time taken by person A by travelling car = 120 = 3 hours 40

 Distance travelled by person A by bus = 500 × 18 = 90 km 100

 Time taken by person A by travelling bus = 90 = 2 hours 45

 Distance travelled by person A by train = 500 × 27 =135 km 100

 Time taken by person A by travelling train = 135 =1.6875 hours 80

 Distance travelled by person A by bicycle = 500 × 20 = 100 km 100

 Time taken by person A by travelling bicycle = 100 = 4 hours 25

Required time = 5.5 + 3 + 2 + 1. 6875 + 4 = 16.1875 hours = 16.2 hours

Hence, option (B) is correct.

5
If person B completed his journey by train in 5.75 hours, then what is average of the distance travelled by him by car, by bus and by bicycle?
» Explain it
A
Let total distance travelled by person B = Y km

Now, distance travelled by train by person B = 60 × 5.75 = 345 km

From question-

 ⇒ Y × 23 = 345 100
⇒ Y = 1500 km

Distance travelled by car by person B
 = 1500 × 25 = 375 km 100

Distance travelled by bus by person B
 = 1500 × 21 = 315 km 100

Distance travelled by bicycle by person B
 = 1500 × 16 = 240 km 100

 Required average = 375 + 315 + 240 = 310 km 3

Hence, option (A) is correct.