Question : The speed of a boat upstream is 8 km/hr and the speed of a stream is 4 km/hr. The boat covers a distance of $x$ km in upstream and $x$ km in downstream. If the total time taken by the boat is 9 hours, then what is the value of $x$?
Option 1: 60 km
Option 2: 72 km
Option 3: 48 km
Option 4: 36 km
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Correct Answer: 48 km
Solution : Given: The speed of a boat upstream is 8 km/hr and the speed of a stream is 4 km/hr. So, speed of the boat in the still water = 8 + 4 = 12 km/hr Downstream speed = (The speed of the boat) + (The speed of the stream) = 12 + 4 = 16 km/hr The total time taken by the boat is 9 hours. So, $\frac{x}{8}+\frac{x}{16}=9$ ⇒ $\frac{2x+x}{16}=9$ ⇒ $3x=144$ ⇒ $x=48$ km Hence, the correct answer is 48 km.
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Question : The time taken by boat to cover a distance of x km in upstream is 3 hours more than the time taken by the boat to cover the same distance in downstream. The speed of the boat in upstream is 8 km/hr. Which of the following statement(s) is/are correct? I. If the value of x is 48 km, then the speed of the boat in downstream is 16 km/hr. II. If the speed of the boat in downstream is 12 km/hr, then the value of x is 48 km.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
Question : A man walking at the speed of 8 km/hr covers a certain distance in 5 hours and 30 minutes. If he covers the same distance by cycle in 4 hours, then what is the speed of the cycle?
Option 1: 11 km/hr
Option 2: 15 km/hr
Option 3: 8 km/hr
Option 4: 9 km/hr
Question : A boat travels 32 km downstream in 4 hours and 24 km upstream in 6 hours. What is the speed (in km/hr) of a boat in still water?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 8
Question : The speed of a boat in still water is 17 km/hr and the speed of a stream is 11 km/hr. Find the difference between the upstream speed and the downstream speed of the boat.
Option 1: 18 km/hr
Option 2: 22 km/hr
Option 3: 21 km/hr
Option 4: 28 km/hr
Question : 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?
Option 1: 112 km
Option 2: 94 km
Option 3: 106 km
Option 4: 102 km
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