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.