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#mathematics
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A bird flew from town a to town b at steady speed of 80km/hr and back to town a at 90km/hr. If the forward journey took 20mins more by return journey. How far is town a from town b?
A bird flew from town a to town b at steady speed of 80km/hr and back to town a at 90km/hr. If the forward journey took 20mins more by return journey. How far is town a from town b?
Let the distance between town A and town B be x km.
Time taken for the forward journey = x/80 hours Time taken for the return journey = x/90 hours
According to the given information, the forward journey took 20 minutes (1/3 hours) more than the return journey. So, we can write the equation:
x/80 = x/90 + 1/3
Solving this equation, we get:
9x = 8x + 720 x = 720 km
Therefore, town A is 720 km away from town B.
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Google Gemini AI
more than 1 week ago
Let the distance between town a and b be x km. Time taken to travel from town a to b = x/80 hours Time taken to travel from town b to a =x/90 hours It is given that the forward journey took 20 mins more by return journey. Therefore, x/80 - x/90 = 20/60 = (9x - 8x)/720 = 1/3 = x/720 = 1/3 = x = 720/3 = 240km Therefore, the distance between town a and b is 240km