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Given: A man had traveled 1/3 of the total distance of his trip when his car broke down. He finished the journey on foot, spending twenty times as long walking as he had spent driving.

Asked: How many times faster was his driving speed than his walking speed?

Let the total distance be D and let driving speed be v and time taken to cover D/3 be t.

A man had traveled 1/3 of the total distance of his trip when his car broke down.
D/3 = vt
v = D/3t

He finished the journey on foot, spending twenty times as long walking as he had spent driving.
2D/3 = v' (20t)
v' = 2D/60t = D/30t

v/v' = (D/3t)/(D/30t) = 10

IMO A
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Emdad
A man had traveled 1/3 of the total distance of his trip when his car broke down. He finished the journey on foot, spending twenty times as long walking as he had spent driving. How many times faster was his driving speed than his walking speed?
(A) 10
(B) 12
(C) 15
(D) 20
(E) None of these

Driving:

Total distance = d/3
Total time = t
Average speed = (d/3)/t = d/(3t)

Walking:

Total distance = 2d/3
Total time = 20t
Average speed = (2d/3)/(20t) = 2d/(60t)

How many times faster was his driving speed than his walking speed?

[d/(3t)]/[2d/(60t)] = d/(3t) × 60t/(2d) = 10

Answer: A
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