Question

A motorboat goes downstream 30 kilometre and again return to the starting point in a total time 4 hours and 30 minutes if the speed of steam 5 per kilometre find the speed of the motor still water​

Answer 1

Answer:

The speed of the motor still water​ is 8.33 km per hour.

Step-by-step explanation:

• Let y be the speed of stream be = $5$ km per hour

• Speed of boat in still water be = $x$ km per hour

• Speed of boat down stream be = $(x + 5)$ km per hour

• Distance covered = $2 \times 30$ = $60$ km

• Time = 4 hours and 30 minutes = 4.5 hours

Using the formula

                              $Time=\frac{Distance}{speed}$

                                   $4.5=\frac{60}{\left(x+y\right)}$

                                $x+y=\frac{60}{4.5}$

                               $x+5=\frac{60}{4.5}$

                          $x+5-5=\frac{60}{4.5}-5$

                                       $x=8.33$  km per hour

Therefore, the speed of the motor still water​ is 8.33 km per hour.

Keywords: speed, time, distance

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