Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Respuesta :

Jack rides in a motorboat against a river current for 36 km, the speed of the river current is 11.5 km/h while the speed of the motorboat in still water is 15 km/h.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time on raft and a represent the speed of the current.

For motorboat:

(15 - a)(t + 9) = 36

t = [36 - 9(15 - a)]/(15 - a)

For raft:

(a + 15)t = 36

t = 36 / (a + 15)

Hence:

36 / (a + 15) = [36 - 9(15 - a)]/(15 - a)

a = 11.5 km/h

The speed of the river current is 11.5 km/h

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