It is 170 miles from Bruce’s house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 hours at 55 miles per hour. Then he came to some very bad road construction. The rest of the trip took 2 hours. How many miles per hour did Bruce drive for the rest of the trip?

Respuesta :

Bruce drove 30 miles per hour for the rest of the trip

Step-by-step explanation:

The given is:

  • It is 170 miles from Bruce’s house to the city where his brother lives
  • He drove for 2 hours at 55 miles per hour
  • The rest of the trip took 2 hours because he came to some very bad road construction

We need to find how many miles per hour Bruce drove for the rest of the trip

∵ He drove for 2 hours

∵ His speed in this time is 55 miles per hour

∵ Distance = speed × time

- Find the distance he drove in 2 hours

∴ The distance = 55 × 2 = 100 miles

∴ He drove 110 miles before the bad road construction

Subtract this distance from the distance between his house and his brother to find the rest of the distance he must drive to

∵ The distance between his house and his brother = 170 miles

∵ He drove 110 miles of them

∴ The rest distance = 170 - 110 = 60 miles

∵ The rest of the trip took 2 hours

- Substitute the values of the distance and the time in the rule

  of distance to find his speed

∵ 60 = speed × 2

- Divide both side by 2

∴ Speed = 30 miles per hour

Bruce drove 30 miles per hour for the rest of the trip

Learn more:

You can learn more by the distance equation in brainly.com/question/9527632

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