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Formulate the following problems as a p...

Formulate the following problems as a pair of equations, and hence find their solutions:
`(i)` Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.
`(ii)` 2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone.
`(iii)` Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Text Solution

AI Generated Solution

Let's solve the given problems step-by-step. ### Problem (i) **Given:** Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. We need to find her speed of rowing in still water and the speed of the current. **Let:** - Speed of Ritu in still water = \( y \) km/h - Speed of the current = \( x \) km/h ...
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Knowledge Check

  • A boat travels 16 km upstream in 4hr and 12 km downstream in 6 hr. What is the speed (in km/h) of boat in still water?

    A
    1
    B
    2
    C
    3
    D
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