Bobby Gross

2023-02-26

A boat goes downstream and covers the distance between two ports in 96 minutes, while it covers the same distance in upstream in 120 minutes. If the speed of stream is 1km/hr, Find the speed of boat in still water?

Malia Klein

Beginner2023-02-27Added 5 answers

Let speed of boat be X kmph.

down stream- in 96 minute boat will travel $96/60(X+1)$ km

As per question $\frac{96}{60}(X+1)=\frac{120}{60}(X-1)$

$\Rightarrow 96x+96=120x-120\phantom{\rule{0ex}{0ex}}\Rightarrow 24x=216\phantom{\rule{0ex}{0ex}}x=9$

down stream- in 96 minute boat will travel $96/60(X+1)$ km

As per question $\frac{96}{60}(X+1)=\frac{120}{60}(X-1)$

$\Rightarrow 96x+96=120x-120\phantom{\rule{0ex}{0ex}}\Rightarrow 24x=216\phantom{\rule{0ex}{0ex}}x=9$