Question

. A boat covers 25 km upstream and 44 km downstream in 9 hours. Form the equation to represent the above information by taking the speed of boat in still water be x km/h and the speed of stream be y km/h.​

Answer 1

Answer:

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Answer 2

Given:

A boat covers 25 km upstream and 44 km downstream in 9 hours.

The speed of boat in still water be x km/h

The speed of stream be y km/h

​

To find:

Form the equation to represent the above information

Solution:

The formula used to solve the given problem is as follows:

$\boxed{\bold{Time = \frac{Distance }{Speed} }}$

The speed of the boat upstream = (x - y) km/hr

and

The speed of the boat downstream = (x + y) km/hr

Also,

The distance covered by the boat upstream = 25 km

and

The distance covered by the boat downstream = 44 km

The total time taken by the boat to cover upstream and downstream = 9 hrs

Now, using the above formula of time, we can form the expression as follows:

$\frac{Distance _(_U_p_s_t_r_e_a_m_)}{Speed_(_U_p_s_t_r_e_a_m_) } +\frac{Distance _(_D_o_w_n_s_t_r_e_a_m_)}{Speed_(_D_o_w_n_s_t_r_e_a_m_)} = Total \:Time$

substituting the values, we get

$\implies \frac{25}{x\:-\:y } +\frac{44}{x\:+\:y} = 9$

Thus, the equation to represent the above information is:

$\bigstar \:\boxed{\boxed{\bold{ \frac{25}{x\:-\:y } +\frac{44}{x\:+\:y} = 9}}}}\:\bigstar$

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