1.

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.

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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