Question

Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: A, B, and C travel from the same place with uniform speeds of 12km/h, 15km/h, 25 km/h respectively. First A starts moving B starts 5 hours after A. How long after B must C start in order to overtake A at the same time?  

Quantity B: [(27/3) ×2/3] + 2 hours

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation.h

Answer 1

Correct Answer - Option 5 : Quantity A = Quantity B or No relation.h

GIVEN:

Speeds = 12km/h, 15km/h, 25 km/h

B starts 5 hours after A

CONCEPT:

When two objects are moving in the same direction the relative speed is the difference between their individual speeds.

FORMULA USED:

Speed = Distance/Time

CALCULATION:

Distance traveled by A in 5 hrs = 12 × 5 = 60 km

B follows A at a speed of = 15 - 12 = 3 km/h

Time taken by B to meet A = 60/3 = 20 hours

Distance covered by B in 20 hrs = 15 × 20 = 300 km

Time taken by C to cover 300km = 300/25 = 12 hours

C should start = 20 - 12 = 8 hours after B

∴ C should start 8 hours after B.

Quantity B  

(9 × 2/3) + 2

⇒ 6 + 2 = 8

∴ Quantity A = Quantity B