Answer:
36 km
Step-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]
