Ed is planning daily walking workouts on the same distance of 12 km in the morning and in the evening. usually he is walking at constant rate, however he planned his rate to be 1 km/h more in the morning than in the evening. given he is willing to spend 5 hours and 24 minutes daily on these workouts, what should his morning rate be, in km/h?

Let the rate of walking in the evening be = x km/h

As Ed wants to walk at a rate if 1 km/h more in the morning, then rate in morning becomes = x+1 km/h

So, distance is 12 km, speed is x+1 km/h

Total time is = 5 h 24 m or convert it into hours, it becomes 5.4 hours

Time in morning becomes =

Time in evening becomes =

So equation becomes=

Solving this quadratic equation, we get, x= -5/9 or x=4

As X cannot be negative so neglect -5/9.

Solving by using x=4, we get rate as x= 4+1 =5 km/h

Hence, rate in the morning is 5 km/h.

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step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.