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in Direct Proportion and Inverse Proportion by (46.9k points)
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Mary cycles at 6 km per hour. How long will she take to reach her Aunt’s house which is 12 km away? If she cycles at a speed of 4 km/hr, how long would she take?

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Best answer

Speed of the cycle = 6 km / hr 

Distance travelled to reach her Aunt’s house = 12 km 

∴ Time requried = (Distance travelled)/Speed  

= 2 hours 

Let the time required when the speed of the cycle is 4 k,/hr be x hours.

 The speed of the cycle and the time required to the travel the same distance are in inverse proportion.

∴ 4 × x = 6 × 2 

∴ x = (6 x 2)/4 = 3 hours 

∴ Mary will require 2 hours if she is cycling at 6 km/hr and 3 hours if she is cycling at 4 km/hr to reach her Aunt’s house.

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