On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. his average rate in the morning was twice his average rate in the afternoon. he spent 5 hours driving. find his average rate on each part of the trip.

The average speed in the morning trip is and the speed in the afternoon trip is

Further explanation:

The relationship between speed, distance and time can be expressed as follows,

Given:

A motorist drove in the morning and in the afternoon.

The time taken to travel is

Explanation:

The average rate in the morning was twice his average rate in the afternoon.

Consider the speed of the person in afternoon be

So speed of the person in the morning is

The time taken to in the morning can be calculated as follows,

The time taken to in the afternoon can be calculated as follows,

The total time taken by the person is 5 hours.

The speed of the person in the afternoon is

The speed of the person in the morning can be calculated as follows,

The average speed in the morning trip is and the speed in the afternoon trip is

Learn more:

1. Learn more about inverse of the functionhttps://link.

2. Learn more about equation of circle link.

3. Learn more about range and domain of the function link

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Speed

Keywords: motorist, 150 miles, drove, morning, afternoon, twice, spent, trip, average rate, 5 hours driving, 50 miles.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

2: 10

step-by-step explanation: