Moana's motorcycle travels for 6 hours 30 minutes at an average speed of 50 kph. How far does she travel in total?

Correct option is

B

4

3

1

hrs

Let time taken in going only by scooter be x hrs.Then, time taken for one way by cycle

=[6

2

1

−x]hrs=[

2

13

−x]hrs

Total time taken for going on cycle both ways=6hrs30min+2hrs10min=8hrs40min=8

60

40

=8

3

2

hrs

∴2[

2

13

−x]=8

3

2

⇒13−2x=8

3

2

⇒2x=13−8

3

2

=4

3

1

hrs

∴ It will take 4

3

1

hrs to go on scooter both ways.

a)

$4,000 + $960 = $4,960

She has $4,960 in her account at the end of 3 years

b)

i = Prt

r = i/Pt

r = 960 / 4000 * 3

r = 960 / 12000

r = 0.08

Annual interest rate is 0.08 or 8%

c) If 1% greater then r = 0.09 (9%)

i = Prt

i = $4,000 * 0.09 * 3

i = $1, 080

The different: $1, 080 - $960 = $120

She would have $120 more in her account if the interest rate were 1% greater.