Question

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?

Answer 1

10 miles

Explanation:

Given: Boat goes
`(3)/(4)` hours with 8 mph (i)

Boat goes
`(1)/(3)` hours with 12 mph (ii)

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

Formula for finding distance is

D=
`Speed* time`

D=
`(3)/(4) * 8` (i)

D=
`3* 2`

∴ D1= 6 miles (i)

D=
`(1)/(3)* 12` (ii)

∴D2= 4 miles (ii)

To find total distance, we will add d1 and d2

Total distance =
`d1 + d2`

∴ Total distance =
`6 + 4`

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