Question

Carlos and Maria drove a total of 258 miles in 5 hours. Carlos drove the first part of the trip and averaged 53 miles per hour. Maria drove the remainder of the trip and averaged 51 miles per hour. For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.

Answer 1

m=3.5 is the answer I belive

Answer 2

Maria drove for 3.5 hours.

Explanation:

Given :

Carlos and Maria drove a total of 258 miles in 5 hours.

Carlos drove the first part of the trip and averaged 53 miles per hour.

Maria drove the remainder of the trip and averaged 51 miles per hour.

To Find : For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.

Solution:

Carlos and Maria drove a total of 258 miles in 5 hours.

Let t be the time for which Carlos drove

So, Maria drove for hours = 5 - t

Speed of Carlos = 53 miles / hr

Distance covered by Carlos =
`Speed * time`

=
`53t`

Speed of Maria = 51 miles per hour.

Distance covered by Maria =
`51 * (5-t)`

Total Distance =
`53t+51 * (5-t)`

Since we are given that Carlos and Maria drove a total of 258 miles

So,
`53t+51 * (5-t)=258`

`53t+255-51t=258`

`2t+255=258`

`2t=258-255`

`2t=3`

`t=(3)/(2)=1.5`

Carlos drove for 1.5 hours

Maria drove for hours = 5 - t = 5-1.5 =3.5 hours

Hence Maria drove for 3.5 hours.