At 10:00a. m, pharaoh leaves his office traveling by car to deliver a book to Valerie. He stopped to eat lunch for two hours, and then returned directly to his office, arriving at 2:00pm. If Pharaohs rate going was 60mph and the rate returning was 20 mph, how far is it from pharaohs office to Valerie's?

Question

Simeon Roberts

Mathematics

26 September, 12:44

At 10:00a. m, pharaoh leaves his office traveling by car to deliver a book to Valerie. He stopped to eat lunch for two hours, and then returned directly to his office, arriving at 2:00pm. If Pharaohs rate going was 60mph and the rate returning was 20 mph, how far is it from pharaohs office to Valerie's?

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Holden · Answer 1

30 m

Step-by-step explanation:

Step 1:

Let x be the distance traveled.

Speed taken while going is given as 60mph.

Hence time taken for the onward journey = x/60

Speed for the return journey is 20mph

Hence time for the return journey is x/20

Step 2:

Total time is from 10 m to 2 pm. Deducting the 2 hours taken for lunch, time spent for the onward and return journey is 2 hrs

=> X/60 + x/20 = 2.

Solving for x we get x = 30

Hence the distance between the office and Valerie's is 30 m