CAT Practice : Pipes cisterns, Work time

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Classic Work - Time Question!!

Watering A Garden

Q.19: Ajay and Suraj can water a garden in 45 minutes and 40 minutes respectively. They started working together but after some time Ajay left to watch a cricket match. Suraj hurriedly finished the work in next 23 minutes and joined Ajay. After how many minutes had Ajay left?
1. 9 min
2. 8 min
3. 7 min
4. 10 min

Choice A. 9 min

Detailed Solution

Suraj took 23 minutes to finish the remaining work = $\frac{23}{40}$

Work finished by Ajay and Suraj together = $\frac{17}{40}$

Time taken = $\frac{\frac{17}{40}}{\frac{1}{45} + \frac{1}{40}} = \frac{17}{\frac{8}{9} + 1} = \frac{17}{\frac{17}{9}}$ = 9 mins

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More questions from Pipes Cisterns, Work Time

Mathematicians are creatures of habit. This topic has been called Pipes and Cisterns because someone named it like it long ago. Pipes and Tanks would be much better - at least makes it sound like wartime.