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Ankita travels 14km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km by rickshaw, and the remaining distance by bus. On the other hand, if she travel 4 km by rickshaw and the remaining distance by bus, she takes 9 minute longer. Find the speed of the rickshaw and of the bus. |
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Answer» Total distance=14 Km Let x be the speed of bus Let y be the speed of Rickshaw `12/x+2/y=1/2-(1)` `10/x+4/y=39/60-(2)` subtracting equation 1 from 2 `10/x-24/x=-21/60` `14/x=21/60` `x=40 km/h` Putting this value in equation 1 `12/40+2/y=1/2` `2/y=2/10` `y=10 km/h` Speed of bus=x=40 km/h Speed of rickshaw=y=10 km/h`. |
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