18. A man travels a distance at a speed of 8 km/ hr and returns at a speed of 6 km/hr. If he 1 takes 3=hr. time in total journey, then how 2 much distance he covered ?
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Step-by-step explanation:
⇒ 2 hr + 55 min = 2 + 55/60 = 2 + 11/12 = 35/12
Let total distance be x km, then
According to the question
⇒ x/18 + x/12 = 35/12
⇒ (2x + 3x)/36 = 35/12
⇒ 5x/36 = 35/12
⇒ x = 35/12 × 36/5
⇒ x = 21 km
Short Trick :
Required distance = [(12 × 18)/(12 + 18)] × 35/12 = 21 km
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