A local bus travels 7 miles per hour slower than the express.The express travels 45 miles in the time it takes the local totravel 38 miles. Find the speed of each bus.

Angela Arnold

Angela Arnold

Answered question

2022-09-02

A local bus travels 7 miles per hour slower than the express.The express travels 45 miles in the time it takes the local totravel 38 miles. Find the speed of each bus.

Answer & Explanation

eggma84rd

eggma84rd

Beginner2022-09-03Added 11 answers

speed of express bus = V e = x
dist of express bus = 45mi
speed of local bus = V l = x 7
dist of local bus = 38mi
they both take the same time to travel different distances, so wecan find times for each and set it equal to each other
time for local = 38 x 7
time for express = 45 x
set both time equal to each other
45 x = 38 x 7
45x-315=38x
7x=315
x = 45 m i h express
x 7 = 38 m i h local
ceriserasb6

ceriserasb6

Beginner2022-09-04Added 2 answers

Let the speed of the Local Bus be X miles per hour.
Therefore the speed of the Express Bus would be 7 more thanthe Local Bus; which is X+7 miles per hour.
The time travelled by each are:
Local Bus: 38/X
Express Bus: 45/X+7
As the buses travel for the same time(T); the value of 38/Xwill be equal to 45/X+7.
Therefore, (38/X) = (45/X+7)
Cross multiplying 38*(X+7) =45*X
38X+266=45X
45X-38X=266
7X=266
Therefore X= 38
Therefore the speed of the Local bus is 38 miler per hourand the speed of the Express is 38+7= 45 miler per hour. Timetravelled for is 1 Hour.
Verification:
Distance travelled by the Local bus = Speed*Time =38 * 1= 38 Miles ( value given in the question)
Distance travelled by the Express bus = Speed* time=45*1= 45 Miles (value given in the question)

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