Use distanece= rate * time 1- anjali traveled to teh recycling plant and back. the trip there took 5.8 hrs and the trip back took 5.1 hrs. she averaged 7 mph faster on the return trip than the outbound trip. what was anjali's average speed on the outbound trip? 2- a fishing boat left hawaii traveling west 0.5 hrs before a cruise ship. the cruise ship traveled in the opposite direction going 12.5km/h faster than the fishing boat for 11 hrs after which the time the ships were 322 km apart. what was te fishing boat's speed.

1). Anjali's speed on the outbound trip was 5.1 miles per hour.

2). Speed of the boat was 8.2 km per hour.

Step-by-step explanation:

1). Anjali traveled to teh recycling plant in 5.8 hrs and trip back took 5.1 hrs.

Her speed was 7 mph faster on the return trip.

Let her outbound trip speed was = s mph

Then her speed for the return trip will be = (s + 7) mph

Distance traveled to plant = Speed × time

                                           = s×5.8 miles

Distance traveled in the back trip = (s + 7)×5.1 miles

Since distances covered to outbound trip and return trip are same

So,  5.8s = (s + 7)×5.1

      5.8 s = 5.1 s + 7×5.1

      5.8 s - 5.1 s = 35.7

                 0.7 s = 35.7

                       s =

                          = 5.1 miles per hour

Therefore, Anjali's speed on the outbound trip was 5.1 miles per hour.

2). Let the speed of the ship is s km per hour

Ship traveled for 11 hours so distance covered by the ship = Speed × time = s×11

Since speed of the ship was 12.5 km per hour faster than the boat then

Speed of the boat will be = s - 12.5

Since boat started traveling 0.5 hrs before the ship then total time the boat traveled = 11 + 0.5 = 11.5 hours

Now the distance covered by the boat = (s - 12.5)×11.5

Since distance between the ship and the boat is 322 km so the equation will be

11s + (s - 12.5)11.5 = 322

11s + 11.5s - 12.5×11.5 = 322

22.5s - 143.75 = 322

22.5s = 322 + 143.75

22.5s = 465.75

s =

  = 20.7 km per hour

Now the speed of the boat will be = (s - 12.5)

                                                         = (20.7 - 12.5)

                                                         = 8.2 km per hour                                          

all it means is function 3