A can do a piece of work in 9 days and B in 18 days. They b begin together but A goes away 3 days before the work is finished. How long will the work last.
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Answer:
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1ie {2×X + (X+3)}/18 = 1
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1ie {2×X + (X+3)}/18 = 1ie (3×X + 3)/18 = 1
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1ie {2×X + (X+3)}/18 = 1ie (3×X + 3)/18 = 1ie 3×(X+1)/18 = 1
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1ie {2×X + (X+3)}/18 = 1ie (3×X + 3)/18 = 1ie 3×(X+1)/18 = 1ie (X+1)/6=1
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1ie {2×X + (X+3)}/18 = 1ie (3×X + 3)/18 = 1ie 3×(X+1)/18 = 1ie (X+1)/6=1ie X+1=6
A can finish work in 9 days so A's work capacity per day is 1/9 part of work per day.Similarly B's work capacity is 1/18 part of work per day.Let us assume, the A and B worked together for X days and then A left the work, then remaining work was completed by B in 3 days (as per the problem statement), so B worked for X+3 days.So A's total work: X×1/9 and B's work is (X+3)×1/18So Eqn is X/9 + (X+3)/18 = 1ie {2×X + (X+3)}/18 = 1ie (3×X + 3)/18 = 1ie 3×(X+1)/18 = 1ie (X+1)/6=1ie X+1=6ie X = 5 so A and B worked together for 5 days and work got completed by B after 3 days, so total time taken to complete the work is 8 days.
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