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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A woman travels 2/5 of a journey by car, 9/20 by train and the remaining 12 km by cycle. The total distance of his journey is – Quantity B: when Radha goes to school by walk at the rate of 6 km/hr, she misses the school bell by 5 min. If she travels via bicycle at the rate of 7 km/hr then she reaches school 4 min before school bell. What is the distance between Radha’s school and her home?

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A woman travels 2/5 of a journey by car, 9/20 by train and the remaining 12 km by cycle. The total distance of his journey is – Quantity B: when Radha goes to school by walk at the rate of 6 km/hr, she misses the school bell by 5 min. If she travels via bicycle at the rate of 7 km/hr then she reaches school 4 min before school bell. What is the distance between Radha’s school and her home? Correct Answer Quantity A > Quantity B

Quantity A:

Let the total distance of journey be a km.

Total distance travelled by car by women =

= 2a/5

Total distance travelled by train =

= 9a/20

Total distance travelled by cycle by women = 12

Then,

(2a/5) + (9a/20) + 12 = a

8a + 9a + 240 = 20a

3a = 240

a = 240/3

a = 80

Total distance travelled by women is 80 km.

Quantity B:

Let the distance between school and Radha’s home be d meters.

Difference in times taken at two different speeds = 4 – (-5) = 9 min = 9/60 hr

Difference in time is given as,

(d/6) – (d/7) = 9/60

d/42 = 9/60

d = 42 × 9/60

d = 6.3

Distance between Radha’s home and school is 6.3 km.

From above solution,

Relation between Quantity A > Quantity B is established.

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