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RD Sharma Solutions Class 8 Mathematics Solutions for Time and Work Exercise 11.1 in Chapter 11 - Time and Work
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A cistern can be filled by one tap in 8 hours, and by another in 4 hours. Howlong will it take to fill the cistern if both taps are opened together?
Answer:
The given details are,
A cistern can be filled by one tap in = 8 hours
A cistern filled by one tap in 1 hour = 1/8
Another cistern can be filled in = 4 hours
Cistern filled by another tap in 1 hour = 1/4
Total cistern filled in 1 hour = 1/4 + 1/8
= (2+1)/8
= 3/8
∴ Cistern can be filled when both the taps are opened together in = 8/3 = 2 2/3 hours
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