A man walks on a straight road from his home to a market 2.5 𝑘𝑚 away with a speed of 5 𝑘𝑚/ℎ. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 𝑘𝑚/ℎ. The average speed of the man over the interval of time 0 to 40 𝑚𝑖𝑛. Is equal to

Question : A man walks on a straight road from his home to a market 2.5 𝑘𝑚 away with a speed of 5 𝑘𝑚/ℎ. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 𝑘𝑚/ℎ. The average speed of the man over the interval of time 0 to 40 𝑚𝑖𝑛. Is equal to

(A) 5 𝑘𝑚/ℎ

(B) 25/4 𝑘𝑚/ℎ

(C) 30/ 4 𝑘𝑚/ℎ

(D) 45/8 𝑘𝑚/ℎ

Answer : option (D)

Solution :

A man walks on a straight road from his home to a market 2.5 𝑘𝑚 away with a speed of 5 𝑘𝑚/ℎ. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 𝑘𝑚/ℎ. The average speed of the man over the interval of time 0 to 40 𝑚𝑖𝑛. Is equal to
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