Question

Ramon is driving from one city to another. he plans to drive the 680 miles in 11 hours. He completed 9/34 of the trip before he stopped for gas. he then drove another 13/34 of the way and stopped for lunch. what fraction of the trip remains? how much farther does Ramon have to drive?

Answer 1

Answer : Fraction of remaining trip =
`(6)/(17)`

Remaining distance = 240 miles

Total distance he plans to drive = 680 miles

Distance he drive before he stopped for gas
`=(9)/(34)`

Distance he drive and stopped for lunch
`=(13)/(34)`

Fraction of trip remains

`=1-(9)/(34)-(13)/(34)\\=1-(22)/(34)\\=(34-22)/(34)\\=(12)/(34)\\=(6)/(17)`

Remaining distance of trip is given by

`(6)/(17)* 680\\=6* 40\\=240 miles`

Hence, remaining distance for the trip = 240 miles