A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours 48 minutes longer to cover the same distance against the current. Find the speed of the boat in still water and the speed of the current.
Linear Equations
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Question

A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours 48 minutes longer to cover the same distance against the current. Find the speed of the boat in still water and the speed of the current.

Linear Equations

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KnowledgeBoat · Accepted Answer

Let speed of boat in still water be x km/h and speed of current be y km/h. Speed of boat in the current = (x + y) km/h Speed of boat against current = (x - y) km/h Given, boat takes 4 hours to go 44 km with the current ⇒ 4(x + y) = 44 ⇒ x + y = 11 .......(i) Given, boat takes 4 hours 48 minutes longer Adding (i) and (ii) we get, ⇒ (x + y) + (x - y) = 11 + 5 ⇒ 2x = 16 ⇒ x = 8. Substituting value of x in (i) we get, ⇒ 8 + y = 11 ⇒ y = 3. Hence, speed of boat in still water = 8 km/h and speed of current = 3 km/h.

Mathematics

A boat sails a distance of 44 km in 4 hours with the current. It takes 4 hours 48 minutes longer to cover the same distance against the current. Find the speed of the boat in still water and the speed of the current.

Linear Equations

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