Concept explainers
Find her total travelling time.
Answer to Problem 13MPS
4 hours
Explanation of Solution
Given:
If R jogs for awhile at 8 km/h and then walks at 5 km/h, she travels 23 km..If she reverses the amount of time spent jogging and walking, she travels 6 km farther.
Calculation:
Let
Time of walking of R = x hours at speed 5 km/h
So, the distance she walks = 5x km ..........[distance =( speed )(time)]
Time of jogging of R = y hours at speed 8 km/h
So, the distance she jogs = 8y km
Total distance travelled = 5x + 8y = 23…..........(1)
Reversing the amount of time spent in jogging and walking :
Time of walking of R = y hours at speed 5 km/h
So, the distance she walks = 5y km ..........[distance =( speed )(time)]
Time of jogging of R = x hours at speed 8 km/h
So, the distance she jogs = 8x km
Total distance travelled = 5y + 8x = 23+6 = 29..........(2)
Solve the two equations :
Multiply equation (1) by 8 and equation (2) by -5 and add :
Substitute the value in equation (1) and solve for x :
So, time of walking is 3 hours and time of jogging is 1 hour .
Hence , total time of travelling is 4 hours.
Chapter 10 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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