Question
Latanya leaves her house at 12:30 P.M and bikes at 12 mi /h to Marta’s house. She stays at Marta’s house for 90 mins. Both girls walk back to Latanya’s house along the same route at 2.5 mi/h. They arrive at Latanya’s house at 3:30 PM. How far is Marta’s house from Latanya’s house ?
Hint:
1. Speed = Distance/time
2. Total time taken = time taken while going to the Marta's house + waiting time + time taken while coming back home
The correct answer is: Latanya's house is approximately 3.10 miles away from Marta's house
Step-by-step solution:-
Let the distance between Latanya's house and Marta's house be x mi.
Total time taken (from 12:30 pm to 03:30 pm) = 3 hours
Total time taken (from 12:30 pm to 03:30 pm) = 3 
60 minutes
Total time taken (from 12:30 pm to 03:30 pm) = 180 min .......................................................... (Equation i)
Now, we know that-
Time = Distance/speed
∴ Time taken while biking to Marta's house = Distance/ speed
∴ Time taken while biking to Marta's house = 
hours
∴ Time taken while biking to Marta's house = ()60 minutes .............................................. (1hour = 60 min)
∴ Time taken while biking to Marta's house = x 5
∴ Time taken while biking to Marta's house = 5x min ...................................... (Equation ii)
Waiting time at Marta's house = 90 min .............................................................. (Equation iii)
Time taken while walking back home = Distance/Speed
∴ Time taken while walking back home = 
hours
∴ Time taken while walking back home = () 60 minutes ........................ (1hour = 60 min)
∴ Time taken while walking back home = 24x min ........................................................ (Equation iv)
Total time taken = Time taken while biking to Marta's house + waiting time + Time taken while walking back home
∴ 180 = 5x + 90 + 24x ......................................................................... (From Equations i, ii, iii & iv)
∴ 180 = 29x + 90
∴ 180 - 90 = 29x ......................................................................................... (Taking all constants together)
∴ 90 = 29x
∴ 
= x ........................................................... (Dividing both sides by 29)
i.e. x = or 3.10 miles
Final Answer:-
∴ Latanya's house is approximately 3.10 miles away from Marta's house.
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The following are some examples of fixed costs that are also contractual:
1) Manufacturing facility and administrative building rent costs
2) Salary payments made to employees
3) The cost of an annual contract signed with a third party for equipment maintenance, etc.
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