## The river boat, Delta Duchess, paddled upstream at 12 km/h, stopped for 2 hours of sightseeing, and paddled back at 18 km/h. How far upstrea

Question

The river boat, Delta Duchess, paddled upstream at 12 km/h, stopped for 2 hours of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 hours?

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2022-02-03T03:19:14+00:00
2022-02-03T03:19:14+00:00 1 Answer
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## Answers ( )

Answer:36 kmStep-by-step explanation:Let time taken by upstream=x hours

Upstream speed=12 km/h

Time spend for sightseeing=2 hours

Total time=7 hours

Traveling time=7-2=5 hours

Time taken by downstream=5-x

Downstream speed=18km/h

Distance=[tex]speed\times time[/tex]Using the formula

Distance traveled when Delta Duchess paddled upstream=12 x

Distance traveled when Delta Duchess paddled back=18(5-x)

According to question

[tex]12x=18(5-x)[/tex]

[tex]12x=90-18x[/tex]

[tex]12x+18x=90[/tex]

[tex]30x=90[/tex]

[tex]x=\frac{90}{30}=3 hours[/tex]

Substitute the values

Distance traveled when Delta Duchess paddled upstream=

[tex]12\times 3=36 km[/tex]