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Answer:
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