SOLUTION: Wormley ran to the store at 8 kilometers per hour and rode a bus home at 20 kilometers per hour. If his round trip traveling time was 7 hours, how many kilometers was it to the sto

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Question 1202302: Wormley ran to the store at 8 kilometers per hour and rode a bus home at 20 kilometers per hour. If his round trip traveling time was 7 hours, how many kilometers was it to the store?
Found 3 solutions by math_helper, josgarithmetic, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


40km



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Workout:



8km/hr * t  = 20km/hr * (7-t)



8t = 140-20t  

28t = 140

t = 5 (hrs)  -->  Distance to store is 8km/hr*5hr = 40km



Check (using the bus speed):   20km/hr*(7hr-5hr) = 20km/hr*2hr = 40km

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
same form, different numbers given

Refer to https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1202282.html

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Wormley ran to the store at 8 kilometers per hour and rode a bus home at 20 kilometers per hour. If his round trip traveling time was 7 hours, how many kilometers was it to the store?

Let distance be D
Then we get the following TIME equation: matrix%281%2C3%2C+D%2F8+%2B+D%2F20%2C+%22=%22%2C+7%29
                                        5D + 2D = 7(40) ----- Multiplying by LCD, 40
                                             7D = 7(40)                     
                       Distance to store, or