On Tuesday if difference between the time taken by the boat to go upstream and the time ta...........

Quantitative Aptitude ( CCS) Data Table

Direction : Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.

On Tuesday, if difference between the time taken by the boat to go upstream and the time taken by the boat to go downstream is 45 hours, find the total distance covered by the boat to go upstream and downstream. Downstream speed is 24 km/hr.

720 km

540 km

360 km

680 km

450 km

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Explanation:

Let upstream distance = downstream distance = x km
Speed of boat = a km/hr, speed of stream = b km/hr
So
x/(a-b) + x/(a+b) = 75
2xa/(a² – b²) = 75 ……………..(1)
Also
x/(a-b) – x/(a+b) = 45
2xb/(a² – b²) = 45 ………………..(2)
Divide (1) by (2)
a/b = 5/3
3a – 5b = 0 ………………(3)
Also, a + b = 24 …………….(4)
Solve (3) and (4)
a = 15, b = 9
From x/(a-b) + x/(a+b) = 75
Solve, x = 360 km
So total 720 km