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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3 months 2022-02-03T03:19:14+00:00 1 Answer 0 views 0

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=$$speed\times time$$

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

$$12x=18(5-x)$$

$$12x=90-18x$$

$$12x+18x=90$$

$$30x=90$$

$$x=\frac{90}{30}=3 hours$$

Substitute the values

Distance traveled when Delta Duchess paddled upstream=$$12\times 3=36 km$$