As part of her training routine for basketball, shaylle alternates between cycling and running for exercise. she cycles at a rate of 10mph and runs at a rate of 6 mph. if she spends 4.5 hours exercising and covers a total of 41 miles, how much time did she spend on each exercise

The time taken while cycling is 1 hour

The time taken on running is 3.5 hours

Step-by-step explanation:

Given as :

The speed at which Shaylle cycles = 10 miles per hour

The speed at which Shaylle runs = 6 miles per hour

The Total Time she spend on both exercise  = 4.5 hours

Let The time taken on cycle = hours = t hour

And The time taken on exercise = = (4.5 -t) hours

The Total Distance she cover = 41 miles

Let The distance cover by her on cycles =

And The distance cover by her on exercise =

Now, According to question

Distance = Speed × Time

So, For Cycling

= 10 mph ×

Or, = 10 mph × t hours

Or ,   = 10 t  miles

For exercise

= 6 mph ×

Or, = 6 mph × (4.5 - t)  hours

Or ,   = (27 - 6 t)  miles

Now, Distance = +

Or ,  D =   +

or,  10 t   miles +  ( 27 - 6 t) miles = 41 miles

Or,  10 t - 6 t =  41 - 27

Or, 4 t = 14

∴  t =

I.e t = 3.5 hours

So, The time taken on cycle = hours = t hour

I.e   = 3.5 hours

And The time taken on exercise = = (4.5 - t) hours

I.e   = 4.5 - 3.5 = 1 hour

Hence The time taken while cycling is 1 hour

And The time taken on running is 3.5 hours  Answer

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

96 39 cause 135 -96=39 im smart (i used a calculater)