Practicing Success
P and Q together can do a piece of work in 6 days. Q and R can finish the same work in \(\frac{48}{7}\) days. P started the work and worked for 4 days. Q and R continued for 4 days. Then the difference of days in which Q and R can complete the work is? |
4 days 10 days 5 days 6 days |
4 days |
Total work = Efficiency × Number of days (Q + R)'s 4 days work = 7 × 4 = 28 Remaining work = 48 - 28 = 20 This is to be done by P in 4 days Hence efficiency of P = \(\frac{20}{4}\) = 5 unit/day (P + Q) = 8 unit/day Q = 8 - 5 = 3 unit/day Q + R = 7 unit/day R = 7 - 3 = 4 unit/day Q can finish the work in = \(\frac{48}{3}\) = 16 days R can finish the work in = \(\frac{48}{4}\) = 12 days Difference = Q - R = 16 -12 = 4 days |