Question 51

A man starts from a place P and reaches the place Q in 7 hours. He travels $$\frac{1}{4}$$ th of the distance at 10 km/hour and the remaining distance at 12 km/hour. The distance, in kilometre, between P and Qis

Solution

let the total distance be 4x km

T = D/S

as per question ,

(x/10) + (3x/12) = 7

(x/10)+(x/4) = 7

(2x+5x)/20 = 7

x=(7*20)/7

x=20km

total dist. traveled = 4x = 4*20 = 80km


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