6. A and B separately do a work in 10 and 15 days respectively. They work together
for some days and then A completed the remaining work in 5 days. For how many days had A and B worked together
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Answer:
3 days
Step-by-step explanation:
In 1 day :
A can do 1/10 part of work
B can do 1/15 part of work
A+B = 1/10 +1/15 = 3+2/30=5/30=1/6
A worked for 5 days
work done by A=1/10 × 5 =1/2
remaining work =1- 1/2 =1/2 done by A+B
A+B can do 1/6 part of work in 1 day
1/2 work is done in 6×1/2= 3days
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