Wotking individually a and b can complete a pice of work in 30 days and 45 days.if b joins a after some days and the work is completed in 20 days from the beginning,after how many days does b joins a?
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a = 30 days
b = 45 days
Let the total work be 90 units [ lcm of 30 and 45 ]
a = 30 days
one day = 90/30 = 3 units
b = 45 says
one day = 90/45 = 2 units
Let x be days after which b joins a
ax+(a+b)(20-x) = 90
3x+(3+2)(20-x) = 90
3x+100-5x = 90
-2x= -10
x = 5
b joins a after 5 days.
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