Question 58

The speed of a boat going downstream is 22 km/h. The speed of the stream is 1 km/h. How much distance in total will the boat cover going 3 hours downstream and 2 hours upstream?

Solution

Let's assume the speed of boat in still water and speed of the stream are 'B' and 'C' respectively.

The speed of a boat going downstream is 22 km/h.

B+C = 22    Eq.(i)

The speed of the stream is 1 km/h.

C = 1    Eq.(ii)

Put Eq.(ii) in Eq.(i).

B+1 = 22

B = 22-1

B = 21
distance covered by the boat while going 3 hours downstream = $$3\times(B+C)$$

= $$3\times22$$

= 66 km

distance covered by the boat while going 2 hours upstream = $$2\times(B-C)$$

= $$2\times(21-1)$$

= $$2\times20$$

= 40 km

Total distance covered by the boat in both streams = 66+40

= 106 km


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