A boat whose speed is the same as the speed of a car, i.e., x x x km/hr, can travel d d d km upstream and return to the initial point in 8 1 3 8 \frac...

Question

A boat whose speed is the same as the speed of a car, i.e., xx km/hr, can travel dd km upstream and return to the initial point in 8138 \frac{1}{3} hours. The time taken by the car to cover the total distance traveled by the boat is 13\frac{1}{3} hour less than that taken by the boat. If the time taken by the boat to cover $18$ km downstream is $30$ minutes more than the time taken to cover $6$ km upstream, and the speed of the stream is yy km/hr, then which of the following options is equal to the time taken by the boat to cover (2d+90)(2d + 90) km in still water?

(i) dxy+3y\frac{d}{x - y} + 3y

(ii) dxy3y\frac{d}{x - y} - 3y

(iii) 180x+y+4\frac{180}{x + y} + 4

Choose the correct option:

Options

A.

(a) Both (i) & (iii)

B.

(b) Both (ii) & (iii)

C.

(c) Both (i) & (ii)

D.

(d) Only (iii)

E.

(e) Only (i)

boatsstreamsspeedtimedistanceupstreamdownstream

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