A boat goes 3/4 hours with a speed of 8 mph and 1/3 hours with a speed of 12 mph. What distance did the boat cover in all this time?

Respuesta :

Answer:

10 miles

Step-by-step explanation:

Given: Boat goes [tex]\frac{3}{4}[/tex] hours with 8 mph       (i)

           Boat goes [tex]\frac{1}{3}[/tex] hours with 12 mph       (ii)

Now, lets find out distance separately to get total distance.

Formula for finding distance is

D= [tex]Speed\times time[/tex]

D= [tex]\frac{3}{4} \times 8[/tex]   (i)

D= [tex]3\times 2[/tex]

∴ D1= 6 miles (i)

D= [tex]\frac{1}{3}\times 12[/tex] (ii)

∴D2= 4 miles  (ii)

To find total distance, we will add d1 and d2

Total distance = [tex]d1 + d2[/tex]

∴ Total distance = [tex]6 + 4[/tex]

= 10 miles is the total distance covered by boat in all this time.

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