Given below are two quantities named A and B. Based on the given infor

1.	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 man goes certain distance downstream in 2 hours and returns back upstream in 3 hours. If the stream flows at the rate of 4 km/hr, find the time taken by the man to cover the distance in still water.Quantity B: 3 hours 1. Quantity A > Quantity B2. Quantity A < Quantity B3. Quantity A ≥ Quantity B4. Quantity A ≤ Quantity B5. Quantity A = Quantity B or No relation.
Answer» Correct Answer - Option 2 : Quantity A < Quantity B Quantity A: Let the speed of boat in still water be B km/hr According to the given statement, distance travelled downstream and upstream is same ⇒ (B + 4) × 2 = (B - 4) × 3 ⇒ 2B + 8 = 3B - 12 ⇒ B = 20 ⇒ Speed of boat in still water = 20 km/hr ⇒ Distance covered by the man either way = (20 + 4) × 2 = 48 km ⇒ Time taken to cover the distance in still water = 48/20 = 2.4 hours = 2 hours 24 minutes Quantity B: 3 hours ∴ Quantity A < Quantity B

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 man goes certain distance downstream in 2 hours and returns back upstream in 3 hours. If the stream flows at the rate of 4 km/hr, find the time taken by the man to cover the distance in still water.Quantity B: 3 hours 1. Quantity A > Quantity B2. Quantity A < Quantity B3. Quantity A ≥ Quantity B4. Quantity A ≤ Quantity B5. Quantity A = Quantity B or No relation.

Answer» Correct Answer - Option 2 : Quantity A < Quantity B

Quantity A:

Let the speed of boat in still water be B km/hr

According to the given statement, distance travelled downstream and upstream is same

⇒ (B + 4) × 2 = (B - 4) × 3

⇒ 2B + 8 = 3B - 12

⇒ B = 20

⇒ Speed of boat in still water = 20 km/hr

⇒ Distance covered by the man either way = (20 + 4) × 2 = 48 km

⇒ Time taken to cover the distance in still water = 48/20 = 2.4 hours = 2 hours 24 minutes

Quantity B:

3 hours

∴ Quantity A < Quantity B